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103303302033113 = 72137312831731511
BaseRepresentation
bin10111011111010000101100…
…100111110010111011011001
3111112202200212201212111100122
4113133100230213302323121
5102020010130310024423
61003412514245243025
730521263061142500
oct2737205447627331
9445680781774318
10103303302033113
112aa08758982536
12b704a56a03475
1345845c89192a0
141b71c995d5837
15be22515278c8
hex5df42c9f2ed9

103303302033113 has 48 divisors (see below), whose sum is σ = 131288032665216. Its totient is φ = 80551950716160.

The previous prime is 103303302033013. The next prime is 103303302033161. The reversal of 103303302033113 is 311330203303301.

It is a happy number.

It is not a de Polignac number, because 103303302033113 - 238 = 103028424126169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103303302033013) 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, 58795028 + ... + 60526538.

It is an arithmetic number, because the mean of its divisors is an integer number (2735167347192).

Almost surely, 2103303302033113 is an apocalyptic number.

103303302033113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

103303302033113 is a deficient number, since it is larger than the sum of its proper divisors (27984730632103).

103303302033113 is a wasteful number, since it uses less digits than its factorization.

103303302033113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732894 (or 1732887 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 26.

Adding to 103303302033113 its reverse (311330203303301), we get a palindrome (414633505336414).

The spelling of 103303302033113 in words is "one hundred three trillion, three hundred three billion, three hundred two million, thirty-three thousand, one hundred thirteen".

Divisors: 1 7 13 49 73 91 511 637 949 1283 3577 6643 8981 16679 46501 62867 93659 116753 655613 817271 1217567 1731511 4589291 8522969 12120577 22509643 59660783 84844039 126400303 157567501 884802121 1102972507 1643203939 2221528613 6193614847 11502427573 15550700291 28879871969 80516993011 108854902037 162171588749 202159103783 1135201121243 1415113726481 2108230653737 7946407848701 14757614576159 103303302033113