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1355042100 = 223527163617
BaseRepresentation
bin101000011000100…
…0100110100110100
310111102202021022110
41100301010310310
510233342321400
6342243131020
745402445026
oct12061046464
93442667273
101355042100
11635982205
12319973a70
1318796a379
14cbd6c016
157de63e50
hex50c44d34

1355042100 has 72 divisors (see below), whose sum is σ = 3975870528. Its totient is φ = 356249600.

The previous prime is 1355042077. The next prime is 1355042107. The reversal of 1355042100 is 12405531.

It is a super-2 number, since 2×13550421002 = 3672278185544820000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1355042107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10509 + ... + 53108.

It is an arithmetic number, because the mean of its divisors is an integer number (55220424).

Almost surely, 21355042100 is an apocalyptic number.

1355042100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1355042100 is an abundant number, since it is smaller than the sum of its proper divisors (2620828428).

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

1355042100 is a wasteful number, since it uses less digits than its factorization.

1355042100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63705 (or 63698 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 1355042100 is about 36810.8964846009. The cubic root of 1355042100 is about 1106.5836849684.

Adding to 1355042100 its reverse (12405531), we get a palindrome (1367447631).

The spelling of 1355042100 in words is "one billion, three hundred fifty-five million, forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 71 75 100 142 150 213 284 300 355 426 710 852 1065 1420 1775 2130 3550 4260 5325 7100 10650 21300 63617 127234 190851 254468 318085 381702 636170 763404 954255 1272340 1590425 1908510 3180850 3817020 4516807 4771275 6361700 9033614 9542550 13550421 18067228 19085100 22584035 27100842 45168070 54201684 67752105 90336140 112920175 135504210 225840350 271008420 338760525 451680700 677521050 1355042100