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103011011231232 = 2931317303459097
BaseRepresentation
bin10111011011000000011110…
…101110110111111000000000
3111111201202102111011022022210
4113123000132232313320000
5102000213022333344412
61003030334423102120
730461204613260316
oct2733003656677000
9444652374138283
10103011011231232
112a9057a7391955
12b6782832a1940
134562b87003590
141b61a8c2a00b6
15bd9845a7083c
hex5db01ebb7e00

103011011231232 has 160 divisors (see below), whose sum is σ = 312922166512032. Its totient is φ = 29831242973184.

The previous prime is 103011011231207. The next prime is 103011011231251. The reversal of 103011011231232 is 232132110110301.

It is a super-2 number, since 2×1030110112312322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103011011231199 and 103011011231208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151390093 + ... + 152069004.

Almost surely, 2103011011231232 is an apocalyptic number.

103011011231232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103011011231232 is an abundant number, since it is smaller than the sum of its proper divisors (209911155280800).

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

103011011231232 is a wasteful number, since it uses less digits than its factorization.

103011011231232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303459148 (or 303459132 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 103011011231232 its reverse (232132110110301), we get a palindrome (335143121341533).

The spelling of 103011011231232 in words is "one hundred three trillion, eleven billion, eleven million, two hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 128 136 156 192 204 208 221 256 272 312 384 408 416 442 512 544 624 663 768 816 832 884 1088 1248 1326 1536 1632 1664 1768 2176 2496 2652 3264 3328 3536 4352 4992 5304 6528 6656 7072 8704 9984 10608 13056 14144 19968 21216 26112 28288 42432 56576 84864 113152 169728 339456 303459097 606918194 910377291 1213836388 1820754582 2427672776 3641509164 3944968261 4855345552 5158804649 7283018328 7889936522 9710691104 10317609298 11834904783 14566036656 15476413947 15779873044 19421382208 20635218596 23669809566 29132073312 30952827894 31559746088 38842764416 41270437192 47339619132 58264146624 61905655788 63119492176 67064460437 77685528832 82540874384 94679238264 116528293248 123811311576 126238984352 134128920874 155371057664 165081748768 189358476528 201193381311 233056586496 247622623152 252477968704 268257841748 330163497536 378716953056 402386762622 466113172992 495245246304 504955937408 536515683496 660326995072 757433906112 804773525244 990490492608 1009911874816 1073031366992 1320653990144 1514867812224 1609547050488 1980980985216 2019823749632 2146062733984 2641307980288 3029735624448 3219094100976 3961961970432 4292125467968 6059471248896 6438188201952 7923923940864 8584250935936 12876376403904 17168501871872 25752752807808 34337003743744 51505505615616 103011011231232