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102003113112 = 23329241608117
BaseRepresentation
bin101111011111111011…
…0111111110010011000
3100202021202212000212020
41132333312333302120
53132400244104422
6114505400414440
710240506104265
oct1367766776230
9322252760766
10102003113112
113a29410968a
1217928777420
139807806a84
144d190ca26c
1529c001495c
hex17bfdbfc98

102003113112 has 64 divisors (see below), whose sum is σ = 264896200800. Its totient is φ = 32692316160.

The previous prime is 102003113111. The next prime is 102003113123. The reversal of 102003113112 is 211311300201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102003113091 and 102003113100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102003113111) 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, 136323 + ... + 471794.

Almost surely, 2102003113112 is an apocalyptic number.

102003113112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102003113112 is an abundant number, since it is smaller than the sum of its proper divisors (162893087688).

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

102003113112 is a wasteful number, since it uses less digits than its factorization.

102003113112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608396 (or 608392 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 102003113112 its reverse (211311300201), we get a palindrome (313314413313).

The spelling of 102003113112 in words is "one hundred two billion, three million, one hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 241 348 482 696 723 964 1446 1928 2892 5784 6989 13978 20967 27956 41934 55912 83868 167736 608117 1216234 1824351 2432468 3648702 4864936 7297404 14594808 17635393 35270786 52906179 70541572 105812358 141083144 146556197 211624716 293112394 423249432 439668591 586224788 879337182 1172449576 1758674364 3517348728 4250129713 8500259426 12750389139 17000518852 25500778278 34001037704 51001556556 102003113112