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100232000001 = 32737611315381
BaseRepresentation
bin101110101011001001…
…0101111001000000001
3100120201100012011102100
41131112102233020001
53120233343000001
6114013531341013
710145561641230
oct1352622571001
9316640164370
10100232000001
1139565395141
12175135b1769
1395b48bc153
144bcbbb2b17
1529197b5586
hex17564af201

100232000001 has 96 divisors (see below), whose sum is σ = 174070930176. Its totient is φ = 54385344000.

The previous prime is 100231999991. The next prime is 100232000003. The reversal of 100232000001 is 100000232001.

It is a happy number.

It is not a de Polignac number, because 100232000001 - 27 = 100231999873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100232000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18624331 + ... + 18629711.

It is an arithmetic number, because the mean of its divisors is an integer number (1813238856).

Almost surely, 2100232000001 is an apocalyptic number.

It is an amenable number.

100232000001 is a deficient number, since it is larger than the sum of its proper divisors (73838930175).

100232000001 is a wasteful number, since it uses less digits than its factorization.

100232000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5623 (or 5620 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 100232000001 its reverse (100000232001), we get a palindrome (200232232002).

The spelling of 100232000001 in words is "one hundred billion, two hundred thirty-two million, one", and thus it is an aban number.

Divisors: 1 3 7 9 21 37 61 63 111 131 183 259 333 393 427 549 777 917 1179 1281 2257 2331 2751 3843 4847 5381 6771 7991 8253 14541 15799 16143 20313 23973 33929 37667 43623 47397 48429 55937 71919 101787 113001 142191 167811 199097 295667 305361 328241 339003 503433 597291 704911 887001 984723 1393679 1791873 2069669 2114733 2297687 2661003 2954169 4181037 4934377 6209007 6344199 6893061 12144917 12543111 14803131 18627021 20679183 26081707 36434751 42999571 44409393 78245121 85014419 109304253 128998713 182571949 234735363 255043257 300996997 386996139 547715847 765129771 902990991 1590984127 1643147541 2708972973 4772952381 11136888889 14318857143 33410666667 100232000001