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20010302312 = 237111323108643
BaseRepresentation
bin10010101000101101…
…001111101101101000
31220122112220200100212
4102220231033231220
5311440114133222
613105334120252
71305605522540
oct225055175550
956575820325
1020010302312
118539326330
123a654b0088
131b6b873c90
14d7b808320
157c1b036e2
hex4a8b4fb68

20010302312 has 128 divisors (see below), whose sum is σ = 52566312960. Its totient is φ = 6883557120.

The previous prime is 20010302303. The next prime is 20010302327. The reversal of 20010302312 is 21320301002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129863 + ... + 238505.

It is an arithmetic number, because the mean of its divisors is an integer number (410674320).

Almost surely, 220010302312 is an apocalyptic number.

20010302312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20010302312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26283156480).

20010302312 is an abundant number, since it is smaller than the sum of its proper divisors (32556010648).

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

20010302312 is a wasteful number, since it uses less digits than its factorization.

20010302312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108703 (or 108699 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 20010302312 its reverse (21320301002), we get a palindrome (41330603314).

The spelling of 20010302312 in words is "twenty billion, ten million, three hundred two thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 13 14 22 23 26 28 44 46 52 56 77 88 91 92 104 143 154 161 182 184 253 286 299 308 322 364 506 572 598 616 644 728 1001 1012 1144 1196 1288 1771 2002 2024 2093 2392 3289 3542 4004 4186 6578 7084 8008 8372 13156 14168 16744 23023 26312 46046 92092 108643 184184 217286 434572 760501 869144 1195073 1412359 1521002 2390146 2498789 2824718 3042004 4780292 4997578 5649436 6084008 8365511 9560584 9886513 9995156 11298872 15535949 16731022 17491523 19773026 19990312 27486679 31071898 32484257 33462044 34983046 39546052 54973358 62143796 64968514 66924088 69966092 79092104 108751643 109946716 124287592 129937028 139932184 192406753 217503286 219893432 227389799 259874056 357326827 384813506 435006572 454779598 714653654 769627012 870013144 909559196 1429307308 1539254024 1819118392 2501287789 2858614616 5002575578 10005151156 20010302312