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5141101020 = 2235118987523
BaseRepresentation
bin1001100100110111…
…01111100111011100
3111021021212222202220
410302123233213130
541012110213040
62210051345340
7241254431466
oct46233574734
914237788686
105141101020
1121a9021320
12bb58b2250
1363c163113
1436ab11136
152015292d0
hex1326ef9dc

5141101020 has 96 divisors (see below), whose sum is σ = 15880354560. Its totient is φ = 1232309760.

The previous prime is 5141101003. The next prime is 5141101033. The reversal of 5141101020 is 201011415.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14979 + ... + 102501.

It is an arithmetic number, because the mean of its divisors is an integer number (165420360).

Almost surely, 25141101020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5141101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7940177280).

5141101020 is an abundant number, since it is smaller than the sum of its proper divisors (10739253540).

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

5141101020 is a wasteful number, since it uses less digits than its factorization.

5141101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87635 (or 87633 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 5141101020 is about 71701.4715330167. The cubic root of 5141101020 is about 1725.9122551349.

Adding to 5141101020 its reverse (201011415), we get a palindrome (5342112435).

The spelling of 5141101020 in words is "five billion, one hundred forty-one million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 89 110 132 165 178 220 267 330 356 445 534 660 890 979 1068 1335 1780 1958 2670 2937 3916 4895 5340 5874 9790 11748 14685 19580 29370 58740 87523 175046 262569 350092 437615 525138 875230 962753 1050276 1312845 1750460 1925506 2625690 2888259 3851012 4813765 5251380 5776518 7789547 9627530 11553036 14441295 15579094 19255060 23368641 28882590 31158188 38947735 46737282 57765180 77895470 85685017 93474564 116843205 155790940 171370034 233686410 257055051 342740068 428425085 467372820 514110102 856850170 1028220204 1285275255 1713700340 2570550510 5141101020