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102200200984 = 23712724159627
BaseRepresentation
bin101111100101110011…
…0110100111100011000
3100202210111201010121001
41133023212310330120
53133301222412414
6114541120554344
710245421242430
oct1371346647430
9322714633531
10102200200984
113a385392722
12179827829b4
1398395b170b
144d373512c0
1529d2496074
hex17cb9b4f18

102200200984 has 64 divisors (see below), whose sum is σ = 221644431360. Its totient is φ = 43274165760.

The previous prime is 102200200981. The next prime is 102200201017. The reversal of 102200200984 is 489002002201.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102200200981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1684179 + ... + 1743805.

It is an arithmetic number, because the mean of its divisors is an integer number (3463194240).

Almost surely, 2102200200984 is an apocalyptic number.

102200200984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

102200200984 is an abundant number, since it is smaller than the sum of its proper divisors (119444230376).

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

102200200984 is a wasteful number, since it uses less digits than its factorization.

102200200984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60008 (or 60004 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The spelling of 102200200984 in words is "one hundred two billion, two hundred million, two hundred thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 28 56 127 241 254 482 508 889 964 1016 1687 1778 1928 3374 3556 6748 7112 13496 30607 59627 61214 119254 122428 214249 238508 244856 417389 428498 477016 834778 856996 1669556 1713992 3339112 7572629 14370107 15145258 28740214 30290516 53008403 57480428 60581032 100590749 106016806 114960856 201181498 212033612 402362996 424067224 804725992 1825003589 3650007178 7300014356 12775025123 14600028712 25550050246 51100100492 102200200984