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103201121232 = 243211320320341
BaseRepresentation
bin110000000011101000…
…1000010001111010000
3100212101021010011001100
41200013101002033100
53142323441334412
6115224314104400
710312264025316
oct1400721021720
9325337104040
10103201121232
113a849384940
1218001a1b100
139968a81711
144dd025c0b6
152a402a9edc
hex18074423d0

103201121232 has 120 divisors (see below), whose sum is σ = 315190014048. Its totient is φ = 31261766400.

The previous prime is 103201121227. The next prime is 103201121291. The reversal of 103201121232 is 232121102301.

103201121232 is a `hidden beast` number, since 1 + 0 + 320 + 112 + 1 + 232 = 666.

It is a super-2 number, since 2×1032011212322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5063382 + ... + 5083722.

Almost surely, 2103201121232 is an apocalyptic number.

103201121232 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 103201121232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157595007024).

103201121232 is an abundant number, since it is smaller than the sum of its proper divisors (211988892816).

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

103201121232 is a wasteful number, since it uses less digits than its factorization.

103201121232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23569 (or 23560 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 103201121232 its reverse (232121102301), we get a palindrome (335322223533).

The spelling of 103201121232 in words is "one hundred three billion, two hundred one million, one hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 3203 6406 9609 12812 19218 20341 25624 28827 35233 38436 40682 51248 57654 61023 70466 76872 81364 105699 115308 122046 140932 153744 162728 183069 211398 223751 230616 244092 281864 317097 325456 366138 422796 447502 461232 488184 563728 634194 671253 732276 845592 895004 976368 1268388 1342506 1464552 1691184 1790008 2013759 2536776 2685012 2929104 3580016 4027518 5073552 5370024 8055036 10740048 16110072 32220144 65152223 130304446 195456669 260608892 390913338 521217784 586370007 716674453 781826676 1042435568 1172740014 1433348906 1563653352 2150023359 2345480028 2866697812 3127306704 4300046718 4690960056 5733395624 6450070077 8600093436 9381920112 11466791248 12900140154 17200186872 25800280308 34400373744 51600560616 103201121232