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100152154520 = 23511601378733
BaseRepresentation
bin101110101000110001…
…0001001100110011000
3100120111202221121000022
41131101202021212120
53120102422421040
6114002000130012
710143602160455
oct1352142114630
9316452847008
10100152154520
113952430a040
12174b0906908
1395a11b41c2
144bc134a82c
1529127926b5
hex1751889998

100152154520 has 64 divisors (see below), whose sum is σ = 246237697440. Its totient is φ = 36358272000.

The previous prime is 100152154499. The next prime is 100152154547. The reversal of 100152154520 is 25451251001.

100152154520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 100152154520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75074 + ... + 453806.

Almost surely, 2100152154520 is an apocalyptic number.

100152154520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100152154520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123118848720).

100152154520 is an abundant number, since it is smaller than the sum of its proper divisors (146085542920).

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

100152154520 is a wasteful number, since it uses less digits than its factorization.

100152154520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379356 (or 379352 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 26.

The spelling of 100152154520 in words is "one hundred billion, one hundred fifty-two million, one hundred fifty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 601 1202 2404 3005 4808 6010 6611 12020 13222 24040 26444 33055 52888 66110 132220 264440 378733 757466 1514932 1893665 3029864 3787330 4166063 7574660 8332126 15149320 16664252 20830315 33328504 41660630 83321260 166642520 227618533 455237066 910474132 1138092665 1820948264 2276185330 2503803863 4552370660 5007607726 9104741320 10015215452 12519019315 20030430904 25038038630 50076077260 100152154520