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102948300 = 223352713419
BaseRepresentation
bin1100010001011…
…01110111001100
321011201022112000
412020231313030
5202323321200
614114312300
72360021550
oct610556714
9234638460
10102948300
1153125644
122a588690
1318436770
14d95b860
159088300
hex622ddcc

102948300 has 288 divisors, whose sum is σ = 408307200. Its totient is φ = 21669120.

The previous prime is 102948259. The next prime is 102948341. The reversal of 102948300 is 3849201.

It is an interprime number because it is at equal distance from previous prime (102948259) and next prime (102948341).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 245491 + ... + 245909.

Almost surely, 2102948300 is an apocalyptic number.

102948300 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 102948300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204153600).

102948300 is an abundant number, since it is smaller than the sum of its proper divisors (305358900).

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

102948300 is a wasteful number, since it uses less digits than its factorization.

102948300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 102948300 is about 10146.3441692070. The cubic root of 102948300 is about 468.6763724358.

Subtracting from 102948300 its reverse (3849201), we obtain a palindrome (99099099).

The spelling of 102948300 in words is "one hundred two million, nine hundred forty-eight thousand, three hundred".