Search a number
-
+
31002146631621 = 3311179916196019
BaseRepresentation
bin1110000110010001111111…
…11011111110111111000101
311001202202221220101100222000
413003020333323332333011
513030414344014202441
6145534104535255513
76346555044250404
oct703107773767705
9131682856340860
1031002146631621
119972a33605070
12358851021a599
13143b64a371ac9
1479272493b63b
1538b684c192b6
hex1c323fefefc5

31002146631621 has 64 divisors (see below), whose sum is σ = 53105343897600. Its totient is φ = 17666086521600.

The previous prime is 31002146631581. The next prime is 31002146631647. The reversal of 31002146631621 is 12613664120013.

31002146631621 is a `hidden beast` number, since 3 + 1 + 0 + 0 + 2 + 14 + 6 + 631 + 6 + 2 + 1 = 666.

It is not a de Polignac number, because 31002146631621 - 26 = 31002146631557 is a prime.

It is a super-2 number, since 2×310021466316212 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31002146631671) 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, 1905550 + ... + 8101568.

It is an arithmetic number, because the mean of its divisors is an integer number (829770998400).

Almost surely, 231002146631621 is an apocalyptic number.

It is an amenable number.

31002146631621 is a deficient number, since it is larger than the sum of its proper divisors (22103197265979).

31002146631621 is a wasteful number, since it uses less digits than its factorization.

31002146631621 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6197047 (or 6197041 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 31002146631621 in words is "thirty-one trillion, two billion, one hundred forty-six million, six hundred thirty-one thousand, six hundred twenty-one".

Divisors: 1 3 9 11 17 27 33 51 99 153 187 297 459 561 991 1683 2973 5049 8919 10901 16847 26757 32703 50541 98109 151623 185317 294327 454869 555951 1667853 5003559 6196019 18588057 55764171 68156209 105332323 167292513 204468627 315996969 613405881 947990907 1158655553 1840217643 2843972721 3475966659 6140254829 10427899977 18420764487 31283699931 55262293461 67542803119 104384332093 165786880383 202628409357 313152996279 607885228071 939458988837 1148227653023 1823655684213 2818376966511 3444682959069 10334048877207 31002146631621