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2128055202 = 2327213315987
BaseRepresentation
bin111111011010111…
…1000101110100010
312111022022101221100
41332311320232202
513324240231302
6551055335230
7103510112400
oct17665705642
95438271840
102128055202
119a2260409
124b4821516
1327bb61880
141628b0470
15c6c59d1c
hex7ed78ba2

2128055202 has 144 divisors (see below), whose sum is σ = 5963473152. Its totient is φ = 543049920.

The previous prime is 2128055123. The next prime is 2128055203. The reversal of 2128055202 is 2025508212.

It is not an unprimeable number, because it can be changed into a prime (2128055203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 352453 + ... + 358439.

It is an arithmetic number, because the mean of its divisors is an integer number (41413008).

Almost surely, 22128055202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2128055202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2981736576).

2128055202 is an abundant number, since it is smaller than the sum of its proper divisors (3835417950).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2128055202 is a wasteful number, since it uses less digits than its factorization.

2128055202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6053 (or 6043 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 2128055202 is about 46130.8487023597. The cubic root of 2128055202 is about 1286.2566402545.

The spelling of 2128055202 in words is "two billion, one hundred twenty-eight million, fifty-five thousand, two hundred two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 31 39 42 49 62 63 78 91 93 98 117 126 147 182 186 217 234 273 279 294 403 434 441 546 558 637 651 806 819 882 1209 1274 1302 1519 1638 1911 1953 2418 2821 3038 3627 3822 3906 4557 5642 5733 5987 7254 8463 9114 11466 11974 13671 16926 17961 19747 25389 27342 35922 39494 41909 50778 53883 59241 77831 83818 107766 118482 125727 155662 177723 185597 233493 251454 293363 355446 371194 377181 466986 544817 556791 586726 700479 754362 880089 1089634 1113582 1299179 1400958 1634451 1670373 1760178 2412761 2598358 2640267 3268902 3340746 3813719 3897537 4825522 4903353 5280534 7238283 7627438 7795074 9094253 9806706 11441157 11692611 14476566 16889327 18188506 21714849 22882314 23385222 27282759 33778654 34323471 43429698 50667981 54565518 68646942 81848277 101335962 118225289 152003943 163696554 236450578 304007886 354675867 709351734 1064027601 2128055202