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102317900 = 225217139433
BaseRepresentation
bin1100001100100…
…11111101001100
321010112021202212
412012103331030
5202143133100
614053005552
72351454626
oct606237514
9233467685
10102317900
1152834a53
122a3238b8
1318275849
14d835c16
158eb1635
hex6193f4c

102317900 has 72 divisors (see below), whose sum is σ = 237328560. Its totient is φ = 38154240.

The previous prime is 102317899. The next prime is 102317903. The reversal of 102317900 is 9713201.

It is not an unprimeable number, because it can be changed into a prime (102317903) 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, 236084 + ... + 236516.

It is an arithmetic number, because the mean of its divisors is an integer number (3296230).

Almost surely, 2102317900 is an apocalyptic number.

102317900 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 102317900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118664280).

102317900 is an abundant number, since it is smaller than the sum of its proper divisors (135010660).

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

102317900 is a wasteful number, since it uses less digits than its factorization.

102317900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 23.

The square root of 102317900 is about 10115.2310897972. The cubic root of 102317900 is about 467.7177724672.

The spelling of 102317900 in words is "one hundred two million, three hundred seventeen thousand, nine hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 139 170 278 340 425 433 556 695 850 866 1390 1700 1732 2165 2363 2780 3475 4330 4726 6950 7361 8660 9452 10825 11815 13900 14722 21650 23630 29444 36805 43300 47260 59075 60187 73610 118150 120374 147220 184025 236300 240748 300935 368050 601870 736100 1023179 1203740 1504675 2046358 3009350 4092716 5115895 6018700 10231790 20463580 25579475 51158950 102317900