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1311001300032 = 263191239149579
BaseRepresentation
bin10011000100111101110…
…001000100110001000000
311122022220221020101202220
4103010331301010301000
5132434412313100112
62442133215411040
7163500556120404
oct23047561046100
94568827211686
101311001300032
11465aa1068796
121920b7823a80
139681c388728
144764a6b7104
152417eb6e98c
hex1313dc44c40

1311001300032 has 112 divisors (see below), whose sum is σ = 3501464371200. Its totient is φ = 432890698240.

The previous prime is 1311001300001. The next prime is 1311001300033. The reversal of 1311001300032 is 2300031001131.

It is a junction number, because it is equal to n+sod(n) for n = 1311001299984 and 1311001300020.

It is not an unprimeable number, because it can be changed into a prime (1311001300033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8689819 + ... + 8839397.

Almost surely, 21311001300032 is an apocalyptic number.

1311001300032 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 1311001300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750732185600).

1311001300032 is an abundant number, since it is smaller than the sum of its proper divisors (2190463071168).

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

1311001300032 is a wasteful number, since it uses less digits than its factorization.

1311001300032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150024 (or 150014 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1311001300032 its reverse (2300031001131), we get a palindrome (3611032301163).

The spelling of 1311001300032 in words is "one trillion, three hundred eleven billion, one million, three hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 191 192 239 382 478 573 717 764 956 1146 1434 1528 1912 2292 2868 3056 3824 4584 5736 6112 7648 9168 11472 12224 15296 18336 22944 36672 45649 45888 91298 136947 149579 182596 273894 299158 365192 448737 547788 598316 730384 897474 1095576 1196632 1460768 1794948 2191152 2393264 2921536 3589896 4382304 4786528 7179792 8764608 9573056 14359584 28569589 28719168 35749381 57139178 71498762 85708767 107248143 114278356 142997524 171417534 214496286 228556712 285995048 342835068 428992572 457113424 571990096 685670136 857985144 914226848 1143980192 1371340272 1715970288 1828453696 2287960384 2742680544 3431940576 5485361088 6828131771 6863881152 13656263542 20484395313 27312527084 40968790626 54625054168 81937581252 109250108336 163875162504 218500216672 327750325008 437000433344 655500650016 1311001300032