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31012321202001 = 3317157882148787
BaseRepresentation
bin1110000110100100111100…
…11000111000111101010001
311001210202012222122002122000
413003102132120320331101
513031101213211431001
6145542510315504213
76350365141545036
oct703223630707521
9131722188562560
1031012321202001
119977284913417
12358a48b758069
13143c5ac281959
1479300bd4338d
1538ba7d0aba86
hex1c349e638f51

31012321202001 has 64 divisors (see below), whose sum is σ = 48963184047360. Its totient is φ = 19332182338560.

The previous prime is 31012321201997. The next prime is 31012321202029. The reversal of 31012321202001 is 10020212321013.

31012321202001 is a `hidden beast` number, since 310 + 1 + 2 + 32 + 120 + 200 + 1 = 666.

It is not a de Polignac number, because 31012321202001 - 22 = 31012321201997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31012321204001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 635643330 + ... + 635692116.

It is an arithmetic number, because the mean of its divisors is an integer number (765049750740).

Almost surely, 231012321202001 is an apocalyptic number.

It is an amenable number.

31012321202001 is a deficient number, since it is larger than the sum of its proper divisors (17950862845359).

31012321202001 is a wasteful number, since it uses less digits than its factorization.

31012321202001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57791 (or 57785 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 31012321202001 its reverse (10020212321013), we get a palindrome (41032533523014).

The spelling of 31012321202001 in words is "thirty-one trillion, twelve billion, three hundred twenty-one million, two hundred two thousand, one".

Divisors: 1 3 9 17 27 51 153 157 459 471 1413 2669 4239 8007 8821 24021 26463 48787 72063 79389 146361 149957 238167 439083 449871 829379 1317249 1349613 1384897 2488137 4048839 4154691 7464411 7659559 12464073 22393233 22978677 23543249 37392219 68936031 70629747 130212503 206808093 211889241 390637509 430350127 635667723 1171912527 1291050381 3515737581 3873151143 7315952159 11619453429 21947856477 65843569431 67564969939 197530708293 202694909817 608084729451 1148604488963 1824254188353 3445813466889 10337440400667 31012321202001