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102203140 = 22513675867
BaseRepresentation
bin1100001011101…
…11111100000100
321010022110100111
412011313330010
5202131000030
614050322404
72350466224
oct605677404
9233273314
10102203140
1152766806
122a289404
1318235540
14d806084
158e8c62a
hex6177f04

102203140 has 48 divisors (see below), whose sum is σ = 234626112. Its totient is φ = 37166976.

The previous prime is 102203111. The next prime is 102203149. The reversal of 102203140 is 41302201.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 102203140.

It is not an unprimeable number, because it can be changed into a prime (102203149) 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, 14487 + ... + 20353.

It is an arithmetic number, because the mean of its divisors is an integer number (4888044).

Almost surely, 2102203140 is an apocalyptic number.

102203140 is a gapful number since it is divisible by the number (10) 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 102203140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117313056).

102203140 is an abundant number, since it is smaller than the sum of its proper divisors (132422972).

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

102203140 is a wasteful number, since it uses less digits than its factorization.

102203140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5956 (or 5954 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 102203140 is about 10109.5568646702. The cubic root of 102203140 is about 467.5428425949.

Adding to 102203140 its reverse (41302201), we get a palindrome (143505341).

The spelling of 102203140 in words is "one hundred two million, two hundred three thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 67 130 134 260 268 335 670 871 1340 1742 3484 4355 5867 8710 11734 17420 23468 29335 58670 76271 117340 152542 305084 381355 393089 762710 786178 1525420 1572356 1965445 3930890 5110157 7861780 10220314 20440628 25550785 51101570 102203140