Search a number
-
+
31133322022329 = 33231731105726209
BaseRepresentation
bin1110001010000110010101…
…00110011000110110111001
311002020022112202000122112000
413011003022212120312321
513040042020414203304
6150114241203211213
76362210512546002
oct705031246306671
9132208482018460
1031133322022329
119a1362770167a
1235a9a1a676b09
13144ab239026a7
14798c0a16c1a9
1538ecb0d56939
hex1c50ca998db9

31133322022329 has 64 divisors (see below), whose sum is σ = 48413233267200. Its totient is φ = 19735836696576.

The previous prime is 31133322022289. The next prime is 31133322022357. The reversal of 31133322022329 is 92322022333113.

31133322022329 is a `hidden beast` number, since 3 + 1 + 1 + 3 + 3 + 322 + 0 + 2 + 2 + 329 = 666.

It is not a de Polignac number, because 31133322022329 - 212 = 31133322018233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31133322022293 and 31133322022302.

It is not an unprimeable number, because it can be changed into a prime (31133322022529) 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, 1187873577 + ... + 1187899785.

It is an arithmetic number, because the mean of its divisors is an integer number (756456769800).

Almost surely, 231133322022329 is an apocalyptic number.

It is an amenable number.

31133322022329 is a deficient number, since it is larger than the sum of its proper divisors (17279911244871).

31133322022329 is a wasteful number, since it uses less digits than its factorization.

31133322022329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37471 (or 37465 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The spelling of 31133322022329 in words is "thirty-one trillion, one hundred thirty-three billion, three hundred twenty-two million, twenty-two thousand, three hundred twenty-nine".

Divisors: 1 3 9 23 27 69 173 207 519 621 1557 3979 4671 11057 11937 26209 33171 35811 78627 99513 107433 235881 254311 298539 602807 707643 762933 1808421 1912861 2288799 4534157 5425263 5738583 6866397 13602471 16275789 17215749 40807413 43995803 51647247 104285611 122422239 131987409 289792913 312856833 395962227 869378739 938570499 1187886681 2608136217 2815711497 6665236999 7824408651 19995710997 50134173949 59987132991 150402521847 179961398973 451207565541 1153086000827 1353622696623 3459258002481 10377774007443 31133322022329