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202131323300032 = 2671601892331583
BaseRepresentation
bin101101111101011001011101…
…101110010010100011000000
3222111200120021110102202112121
4231331121131232102203000
5202443204422231100112
61553521503100334024
760401335423412530
oct5575313556224300
9874616243382477
10202131323300032
115945045a4a5155
121a8064a3244314
1388a2b95900239
1437cb2cb6074c0
151857d76174407
hexb7d65db928c0

202131323300032 has 112 divisors (see below), whose sum is σ = 458757219981312. Its totient is φ = 86561158348800.

The previous prime is 202131323300003. The next prime is 202131323300041. The reversal of 202131323300032 is 230003323131202.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6399988113 + ... + 6400019695.

It is an arithmetic number, because the mean of its divisors is an integer number (4096046606976).

Almost surely, 2202131323300032 is an apocalyptic number.

It is an amenable number.

202131323300032 is an abundant number, since it is smaller than the sum of its proper divisors (256625896681280).

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

202131323300032 is a wasteful number, since it uses less digits than its factorization.

202131323300032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42126 (or 42116 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 202131323300032 its reverse (230003323131202), we get a palindrome (432134646431234).

The spelling of 202131323300032 in words is "two hundred two trillion, one hundred thirty-one billion, three hundred twenty-three million, three hundred thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 1601 3202 6404 8923 11207 12808 17846 22414 25616 31583 35692 44828 51232 62461 63166 71384 89656 102464 124922 126332 142768 179312 221081 249844 252664 285536 358624 442162 499688 505328 571072 717248 884324 999376 1010656 1768648 1998752 2021312 3537296 3997504 7074592 14149184 14285723 28571446 50564383 57142892 100000061 101128766 114285784 200000122 202257532 228571568 281815109 353950681 400000244 404515064 457143136 563630218 707901362 800000488 809030128 914286272 1127260436 1415802724 1600000976 1618060256 1972705763 2254520872 2831605448 3200001952 3236120512 3945411526 4509041744 5663210896 6400003904 7890823052 9018083488 11326421792 15781646104 18036166976 22652843584 31563292208 63126584416 126253168832 451185989509 902371979018 1804743958036 3158301926563 3609487916072 6316603853126 7218975832144 12633207706252 14437951664288 25266415412504 28875903328576 50532830825008 101065661650016 202131323300032