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102200201012 = 227213192111051
BaseRepresentation
bin101111100101110011…
…0110100111100110100
3100202210111201010122002
41133023212310330310
53133301222413022
6114541120554432
710245421242500
oct1371346647464
9322714633562
10102200201012
113a385392748
1217982782a18
1398395b1730
144d37351300
1529d2496092
hex17cb9b4f34

102200201012 has 72 divisors (see below), whose sum is σ = 235846729440. Its totient is φ = 38302891200.

The previous prime is 102200200981. The next prime is 102200201017. The reversal of 102200201012 is 210102002201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102200200984 and 102200201002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102200201017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1007114 + ... + 1103937.

It is an arithmetic number, because the mean of its divisors is an integer number (3275649020).

Almost surely, 2102200201012 is an apocalyptic number.

It is an amenable number.

102200201012 is an abundant number, since it is smaller than the sum of its proper divisors (133646528428).

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

102200201012 is a wasteful number, since it uses less digits than its factorization.

102200201012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2111101 (or 2111092 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102200201012 its reverse (210102002201), we get a palindrome (312302203213).

The spelling of 102200201012 in words is "one hundred two billion, two hundred million, two hundred one thousand, twelve".

Divisors: 1 2 4 7 13 14 19 26 28 38 49 52 76 91 98 133 182 196 247 266 364 494 532 637 931 988 1274 1729 1862 2548 3458 3724 6916 12103 24206 48412 2111051 4222102 8444204 14777357 27443663 29554714 40109969 54887326 59109428 80219938 103441499 109774652 160439876 192105641 206882998 280769783 384211282 413765996 521429597 561539566 768422564 1042859194 1123079132 1344739487 1965388481 2085718388 2689478974 3650007179 3930776962 5378957948 7300014358 7861553924 14600028716 25550050253 51100100506 102200201012