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101032426242 = 232111943162311
BaseRepresentation
bin101111000011000000…
…0000111101100000010
3100122210010100000210200
41132012000013230002
53123403300114432
6114225203310030
710204451311356
oct1360600075402
9318703300720
10101032426242
1139936197230
12176b767b316
1396b1691047
144c6620d466
152964bc3a7c
hex1786007b02

101032426242 has 96 divisors (see below), whose sum is σ = 251959818240. Its totient is φ = 28936764000.

The previous prime is 101032426241. The next prime is 101032426259. The reversal of 101032426242 is 242624230101.

101032426242 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 32 + 4 + 2 + 624 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (101032426241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1590267 + ... + 1652577.

It is an arithmetic number, because the mean of its divisors is an integer number (2624581440).

Almost surely, 2101032426242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101032426242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125979909120).

101032426242 is an abundant number, since it is smaller than the sum of its proper divisors (150927391998).

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

101032426242 is a wasteful number, since it uses less digits than its factorization.

101032426242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62780 (or 62777 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 101032426242 its reverse (242624230101), we get a palindrome (343656656343).

The spelling of 101032426242 in words is "one hundred one billion, thirty-two million, four hundred twenty-six thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 342 418 431 627 862 1254 1293 1881 2586 3762 3879 4741 7758 8189 9482 14223 16378 24567 28446 42669 49134 62311 73701 85338 90079 124622 147402 180158 186933 270237 373866 540474 560799 685421 810711 1121598 1183909 1370842 1621422 2056263 2367818 3551727 4112526 6168789 7103454 10655181 12337578 13022999 21310362 26045998 26856041 39068997 53712082 78137994 80568123 117206991 161136246 234413982 241704369 295416451 483408738 510264779 590832902 886249353 1020529558 1530794337 1772498706 2658748059 3061588674 4592383011 5317496118 5612912569 9184766022 11225825138 16838737707 33677475414 50516213121 101032426242