Search a number
-
+
100001210232 = 23371188761007
BaseRepresentation
bin101110100100010001…
…0010101111101111000
3100120010020220211101010
41131020202111331320
53114300302211412
6113535004553520
710140060155610
oct1351042257570
9316106824333
10100001210232
11394570923a0
121746a2528a0
139578b44561
144ba9297a40
1529043c833c
hex1748895f78

100001210232 has 128 divisors (see below), whose sum is σ = 312048599040. Its totient is φ = 25944631680.

The previous prime is 100001210219. The next prime is 100001210249. The reversal of 100001210232 is 232012100001.

It is a super-2 number, since 2×1000012102322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1608673 + ... + 1669679.

It is an arithmetic number, because the mean of its divisors is an integer number (2437879680).

Almost surely, 2100001210232 is an apocalyptic number.

100001210232 is a gapful number since it is divisible by the number (12) 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 100001210232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156024299520).

100001210232 is an abundant number, since it is smaller than the sum of its proper divisors (212047388808).

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

100001210232 is a wasteful number, since it uses less digits than its factorization.

100001210232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61921 (or 61917 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100001210232 its reverse (232012100001), we get a palindrome (332013310233).

The spelling of 100001210232 in words is "one hundred billion, one million, two hundred ten thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 887 924 1774 1848 2661 3548 5322 6209 7096 9757 10644 12418 18627 19514 21288 24836 29271 37254 39028 49672 58542 61007 68299 74508 78056 117084 122014 136598 149016 183021 204897 234168 244028 273196 366042 409794 427049 488056 546392 671077 732084 819588 854098 1281147 1342154 1464168 1639176 1708196 2013231 2562294 2684308 3416392 4026462 4697539 5124588 5368616 8052924 9395078 10249176 14092617 16105848 18790156 28185234 37580312 54113209 56370468 108226418 112740936 162339627 216452836 324679254 378792463 432905672 595245299 649358508 757584926 1136377389 1190490598 1298717016 1515169852 1785735897 2272754778 2380981196 3030339704 3571471794 4166717093 4545509556 4761962392 7142943588 8333434186 9091019112 12500151279 14285887176 16666868372 25000302558 33333736744 50000605116 100001210232