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103120403331 = 311192324129671
BaseRepresentation
bin110000000001001110…
…1000111101110000011
3100212011122020020220110
41200002131013232003
53142142310401311
6115212312042403
710310263652211
oct1400235075603
9325148206813
10103120403331
113a807863330
1217b9a993403
13995512c64a
144dc3649cb1
152a381638a6
hex1802747b83

103120403331 has 64 divisors (see below), whose sum is σ = 165441576960. Its totient is φ = 56396736000.

The previous prime is 103120403327. The next prime is 103120403339. The reversal of 103120403331 is 133304021301.

It is not a de Polignac number, because 103120403331 - 22 = 103120403327 is a prime.

It is a super-2 number, since 2×1031204033312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103120403298 and 103120403307.

It is not an unprimeable number, because it can be changed into a prime (103120403339) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3460626 + ... + 3490296.

It is an arithmetic number, because the mean of its divisors is an integer number (2585024640).

Almost surely, 2103120403331 is an apocalyptic number.

103120403331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

103120403331 is a deficient number, since it is larger than the sum of its proper divisors (62321173629).

103120403331 is a wasteful number, since it uses less digits than its factorization.

103120403331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29968.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 103120403331 its reverse (133304021301), we get a palindrome (236424424632).

The spelling of 103120403331 in words is "one hundred three billion, one hundred twenty million, four hundred three thousand, three hundred thirty-one".

Divisors: 1 3 11 19 23 33 57 69 209 241 253 437 627 723 759 1311 2651 4579 4807 5543 7953 13737 14421 16629 29671 50369 60973 89013 105317 151107 182919 315951 326381 563749 682433 979143 1158487 1691247 2047299 3475461 6201239 7150711 7506763 12966227 18603717 21452133 22520289 38898681 78657821 135863509 142628497 164466353 235973463 407590527 427885491 493399059 1494498599 1809129883 3124860707 4483495797 5427389649 9374582121 34373467777 103120403331