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2031320031984 = 243241734713127
BaseRepresentation
bin11101100011110100000…
…110111110001011110000
321012012012012000022210200
4131203310012332023300
5231240120412010414
64153101525555200
7266521001245455
oct35436406761360
97165165008720
102031320031984
11713529224441
12289824b75b00
13119725259289
147046035182c
1537c8c952109
hex1d8f41be2f0

2031320031984 has 120 divisors (see below), whose sum is σ = 5903305935072. Its totient is φ = 651542538240.

The previous prime is 2031320031977. The next prime is 2031320032019. The reversal of 2031320031984 is 4891300231302.

2031320031984 is a `hidden beast` number, since 2 + 0 + 313 + 20 + 0 + 319 + 8 + 4 = 666.

It is a super-2 number, since 2×20313200319842 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1925572 + ... + 2787555.

Almost surely, 22031320031984 is an apocalyptic number.

2031320031984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2031320031984 is an abundant number, since it is smaller than the sum of its proper divisors (3871985903088).

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

2031320031984 is a wasteful number, since it uses less digits than its factorization.

2031320031984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4713255 (or 4713246 counting only the distinct ones).

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

The spelling of 2031320031984 in words is "two trillion, thirty-one billion, three hundred twenty million, thirty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 73 82 123 144 146 164 219 246 292 328 369 438 492 584 656 657 738 876 984 1168 1314 1476 1752 1968 2628 2952 2993 3504 5256 5904 5986 8979 10512 11972 17958 23944 26937 35916 47888 53874 71832 107748 143664 215496 430992 4713127 9426254 14139381 18852508 28278762 37705016 42418143 56557524 75410032 84836286 113115048 169672572 193238207 226230096 339345144 344058271 386476414 579714621 678690288 688116542 772952828 1032174813 1159429242 1376233084 1545905656 1739143863 2064349626 2318858484 2752466168 3091811312 3096524439 3478287726 4128699252 4637716968 5504932336 6193048878 6956575452 8257398504 9275433936 12386097756 13913150904 14106389111 16514797008 24772195512 27826301808 28212778222 42319167333 49544391024 56425556444 84638334666 112851112888 126957501999 169276669332 225702225776 253915003998 338553338664 507830007996 677106677328 1015660015992 2031320031984