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203210100096 = 2735328135533
BaseRepresentation
bin1011110101000001000…
…1000000110110000000
3201102112001122122222120
42331100101000312000
511312133241200341
6233204201404240
720452510231263
oct2752021006600
9642461578876
10203210100096
11791a9892993
1233472799680
13162163b5ca3
149b9a578cda
1554451ba066
hex2f50440d80

203210100096 has 128 divisors (see below), whose sum is σ = 551933987040. Its totient is φ = 66220277760.

The previous prime is 203210100059. The next prime is 203210100101. The reversal of 203210100096 is 690001012302.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5701146 + ... + 5736678.

Almost surely, 2203210100096 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 203210100096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275966993520).

203210100096 is an abundant number, since it is smaller than the sum of its proper divisors (348723886944).

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

203210100096 is a wasteful number, since it uses less digits than its factorization.

203210100096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35884 (or 35872 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 203210100096 its reverse (690001012302), we get a palindrome (893211112398).

The spelling of 203210100096 in words is "two hundred three billion, two hundred ten million, one hundred thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 281 318 384 424 562 636 843 848 1124 1272 1686 1696 2248 2544 3372 3392 4496 5088 6744 6784 8992 10176 13488 14893 17984 20352 26976 29786 35533 35968 44679 53952 59572 71066 89358 106599 107904 119144 142132 178716 213198 238288 284264 357432 426396 476576 568528 714864 852792 953152 1137056 1429728 1705584 1883249 1906304 2274112 2859456 3411168 3766498 4548224 5649747 5718912 6822336 7532996 9984773 11299494 13644672 15065992 19969546 22598988 29954319 30131984 39939092 45197976 59908638 60263968 79878184 90395952 119817276 120527936 159756368 180791904 239634552 241055872 319512736 361583808 479269104 529192969 639025472 723167616 958538208 1058385938 1278050944 1587578907 1917076416 2116771876 3175157814 3834152832 4233543752 6350315628 8467087504 12700631256 16934175008 25401262512 33868350016 50802525024 67736700032 101605050048 203210100096