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31201023313096 = 23713295903250361
BaseRepresentation
bin1110001100000100011011…
…11010010100010011001000
311002110210021221221120010121
413012002031322110103020
513042144143432004341
6150205315140553024
76400125305201320
oct706021572242310
9132423257846117
1031201023313096
119a3a30928444a
1235bab736b2774
131454322a37560
1479c1cd770280
1539192474d4d1
hex1c608de944c8

31201023313096 has 128 divisors (see below), whose sum is σ = 74498117299200. Its totient is φ = 11915565742080.

The previous prime is 31201023313087. The next prime is 31201023313123. The reversal of 31201023313096 is 69031332010213.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124498956 + ... + 124749316.

It is an arithmetic number, because the mean of its divisors is an integer number (582016541400).

Almost surely, 231201023313096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31201023313096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37249058649600).

31201023313096 is an abundant number, since it is smaller than the sum of its proper divisors (43297093986104).

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

31201023313096 is a wasteful number, since it uses less digits than its factorization.

31201023313096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256319 (or 256315 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 34.

The spelling of 31201023313096 in words is "thirty-one trillion, two hundred one billion, twenty-three million, three hundred thirteen thousand, ninety-six".

Divisors: 1 2 4 7 8 13 14 26 28 29 52 56 58 91 104 116 182 203 232 364 377 406 728 754 812 1508 1624 2639 3016 5278 5903 10556 11806 21112 23612 41321 47224 76739 82642 153478 165284 171187 250361 306956 330568 342374 500722 537173 613912 684748 1001444 1074346 1198309 1369496 1752527 2002888 2148692 2225431 2396618 3254693 3505054 4297384 4450862 4793236 6509386 7010108 7260469 8901724 9586472 13018772 14020216 14520938 15578017 17803448 22782851 26037544 29041876 31156034 45565702 50823283 58083752 62312068 91131404 94386097 101646566 124624136 182262808 188772194 203293132 377544388 406586264 660702679 755088776 1321405358 1477880983 2642810716 2955761966 5285621432 5911523932 10345166881 11823047864 19212452779 20690333762 38424905558 41380667524 42858548507 76849811116 82761335048 85717097014 134487169453 153699622232 171434194028 268974338906 300009839549 342868388056 537948677812 557161130591 600019679098 1075897355624 1114322261182 1200039358196 2228644522364 2400078716392 3900127914137 4457289044728 7800255828274 15600511656548 31201023313096