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31402241013 = 31121321929929
BaseRepresentation
bin11101001111101110…
…000010101111110101
310000001110212010102110
4131033232002233311
51003302433203023
622232003001233
72161114434033
oct351756025765
9100043763373
1031402241013
1112354823500
126104669219
132c65a49900
14173c781553
15c3bcb2a93
hex74fb82bf5

31402241013 has 144 divisors (see below), whose sum is σ = 54324648000. Its totient is φ = 16051875840.

The previous prime is 31402241009. The next prime is 31402241077. The reversal of 31402241013 is 31014220413.

It is not a de Polignac number, because 31402241013 - 22 = 31402241009 is a prime.

It is a super-2 number, since 2×314022410132 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31402241513) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33801733 + ... + 33802661.

It is an arithmetic number, because the mean of its divisors is an integer number (377254500).

Almost surely, 231402241013 is an apocalyptic number.

31402241013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31402241013 is a deficient number, since it is larger than the sum of its proper divisors (22922406987).

31402241013 is a wasteful number, since it uses less digits than its factorization.

31402241013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 31402241013 its reverse (31014220413), we get a palindrome (62416461426).

The spelling of 31402241013 in words is "thirty-one billion, four hundred two million, two hundred forty-one thousand, thirteen".

Divisors: 1 3 11 13 19 29 33 39 57 87 121 143 169 209 247 319 363 377 429 507 551 627 741 929 957 1131 1573 1653 1859 2299 2717 2787 3211 3509 4147 4719 4901 5577 6061 6897 7163 8151 9633 10219 10527 12077 12441 14703 17651 18183 20449 21489 26941 29887 30657 35321 36231 45617 52953 53911 61347 66671 78793 80823 89661 93119 105963 112409 132847 136851 157001 161733 194161 200013 229463 236379 279357 296351 337227 350233 388531 398541 471003 511879 582483 593021 688389 866723 889053 1024309 1050699 1165593 1461317 1535637 1727011 1779063 2135771 2524093 2600169 2983019 3072927 3259861 3852563 4383951 4553029 5181033 5630669 6407313 6654427 7572279 8949057 9779583 11267399 11557689 13659087 16892007 18997121 19963281 27765023 32813209 33802197 42378193 50083319 56991363 61937359 73198697 83295069 86507551 98439627 127134579 150249957 185812077 219596091 259522653 360945299 550916509 805185667 951583061 1082835897 1652749527 2415557001 2854749183 10467413671 31402241013