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103024950625 = 543723472
BaseRepresentation
bin101111111110011000…
…0111111110101100001
3100211220222121202102001
41133330300333311201
53141443341410000
6115155022124001
710305024426352
oct1377460776541
9324828552361
10103024950625
113a7689982a3
1217b72a20601
13993b41b85c
144db4abdd29
152a2eaab46a
hex17fcc3fd61

103024950625 has 45 divisors (see below), whose sum is σ = 132695882319. Its totient is φ = 79961292000.

The previous prime is 103024950619. The next prime is 103024950631. The reversal of 103024950625 is 526059420301.

The square root of 103024950625 is 320975.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (103024950619) and next prime (103024950631).

It can be written as a sum of positive squares in 7 ways, for example, as 34206872401 + 68818078224 = 184951^2 + 262332^2 .

It is not a de Polignac number, because 103024950625 - 29 = 103024950113 is a prime.

It is a super-2 number, since 2×1030249506252 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 296901702 + ... + 296902048.

Almost surely, 2103024950625 is an apocalyptic number.

103024950625 is the 320975-th square number.

103024950625 is the 160488-th centered octagonal number.

It is an amenable number.

103024950625 is a deficient number, since it is larger than the sum of its proper divisors (29670931694).

103024950625 is an frugal number, since it uses more digits than its factorization.

103024950625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The spelling of 103024950625 in words is "one hundred three billion, twenty-four million, nine hundred fifty thousand, six hundred twenty-five".

Divisors: 1 5 25 37 125 185 347 625 925 1369 1735 4625 6845 8675 12839 23125 34225 43375 64195 120409 171125 216875 320975 475043 602045 855625 1604875 2375215 3010225 4455133 8024375 11876075 15051125 22275665 59380375 75255625 111378325 164839921 296901875 556891625 824199605 2784458125 4120998025 20604990125 103024950625