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103011010332021 = 32112711471790527
BaseRepresentation
bin10111011011000000011110…
…101011011100010101110101
3111111201202102102110121211200
4113123000132223130111311
5102000213022121111041
61003030334351523113
730461204602523601
oct2733003653342565
9444652372417750
10103011010332021
112a9057a6928300
12b678282b29499
134562b86a7a1bc
141b61a8c108501
15bd98459441b6
hex5db01eadc575

103011010332021 has 72 divisors (see below), whose sum is σ = 165866703754752. Its totient is φ = 61546744459200.

The previous prime is 103011010332011. The next prime is 103011010332023. The reversal of 103011010332021 is 120233010110301.

103011010332021 is a `hidden beast` number, since 1 + 0 + 301 + 1 + 0 + 10 + 332 + 0 + 21 = 666.

It is not a de Polignac number, because 103011010332021 - 213 = 103011010323829 is a prime.

It is a super-2 number, since 2×1030110103320212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103011010331985 and 103011010332003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103011010332023) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1137858460 + ... + 1137948986.

It is an arithmetic number, because the mean of its divisors is an integer number (2303704218816).

Almost surely, 2103011010332021 is an apocalyptic number.

103011010332021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103011010332021 is a deficient number, since it is larger than the sum of its proper divisors (62855693422731).

103011010332021 is a wasteful number, since it uses less digits than its factorization.

103011010332021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105343 (or 105329 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 103011010332021 its reverse (120233010110301), we get a palindrome (223244020442322).

The spelling of 103011010332021 in words is "one hundred three trillion, eleven billion, ten million, three hundred thirty-two thousand, twenty-one".

Divisors: 1 3 9 11 33 71 99 121 213 363 639 781 1089 2343 7029 8591 14717 25773 44151 77319 90527 132453 161887 271581 485661 814743 995797 1044907 1456983 1780757 2987391 3134721 5342271 6427417 8962173 9404163 10953767 11493977 16026813 19282251 32861301 34481931 57846753 70701587 98583903 103445793 126433747 212104761 379301241 636314283 777717457 1137903723 1332285859 2333152371 3996857577 6999457113 11990572731 14655144449 43965433347 94592295989 131896300041 161206588939 283776887967 483619766817 851330663901 1040515255879 1450859300451 3121545767637 9364637302911 11445667814669 34337003444007 103011010332021