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10023212502252 = 2233233722947487
BaseRepresentation
bin1001000111011011011000…
…0001010100110011101100
31022111012122220122112201000
42101312312001110303230
52303210014400033002
633152333353320300
72053103356352055
oct221666601246354
938435586575630
1010023212502252
113214903175584
12115a695706090
1357925325b461
142691a9d3572c
15125ad7c2b61c
hex91db6054cec

10023212502252 has 144 divisors (see below), whose sum is σ = 27868616939520. Its totient is φ = 3109432670784.

The previous prime is 10023212502169. The next prime is 10023212502253. The reversal of 10023212502252 is 25220521232001.

10023212502252 is a `hidden beast` number, since 100 + 2 + 3 + 2 + 1 + 2 + 502 + 2 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10023212502253) 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, 1926853 + ... + 4874339.

It is an arithmetic number, because the mean of its divisors is an integer number (193532062080).

Almost surely, 210023212502252 is an apocalyptic number.

10023212502252 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 10023212502252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13934308469760).

10023212502252 is an abundant number, since it is smaller than the sum of its proper divisors (17845404437268).

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

10023212502252 is a wasteful number, since it uses less digits than its factorization.

10023212502252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2947597 (or 2947552 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 10023212502252 its reverse (25220521232001), we get a palindrome (35243733734253).

The spelling of 10023212502252 in words is "ten trillion, twenty-three billion, two hundred twelve million, five hundred two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 37 46 54 69 74 92 108 111 138 148 207 222 276 333 414 444 621 666 828 851 999 1242 1332 1369 1702 1998 2484 2553 2738 3404 3996 4107 5106 5476 7659 8214 10212 12321 15318 16428 22977 24642 30636 31487 36963 45954 49284 62974 73926 91908 94461 125948 147852 188922 283383 377844 566766 850149 1133532 1700298 2947487 3400596 5894974 8842461 11789948 17684922 26527383 35369844 53054766 67792201 79582149 106109532 109057019 135584402 159164298 203376603 218114038 271168804 318328596 327171057 406753206 436228076 610129809 654342114 813506412 981513171 1220259618 1308684228 1830389427 1963026342 2440519236 2508311437 2944539513 3660778854 3926052684 4035109703 5016622874 5889079026 7321557708 7524934311 8070219406 10033245748 11778158052 12105329109 15049868622 16140438812 22574802933 24210658218 30099737244 36315987327 45149605866 48421316436 67724408799 72631974654 90299211732 92807523169 108947961981 135448817598 145263949308 185615046338 217895923962 270897635196 278422569507 371230092676 435791847924 556845139014 835267708521 1113690278028 1670535417042 2505803125563 3341070834084 5011606251126 10023212502252