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103010000000 = 275710301
BaseRepresentation
bin101111111101111011…
…1111101110010000000
3100211212221111012000012
41133323313331302000
53141431030000000
6115153325444052
710304453360465
oct1377367756200
9324787435005
10103010000000
113a760506706
1217b69a10628
1399382b582b
144db2b0b66c
152a2d606735
hex17fbdfdc80

103010000000 has 128 divisors (see below), whose sum is σ = 256543288560. Its totient is φ = 41200000000.

The previous prime is 103009999987. The next prime is 103010000017. The reversal of 103010000000 is 10301.

It can be written as a sum of positive squares in 8 ways, for example, as 71811136576 + 31198863424 = 267976^2 + 176632^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1030100000002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9994850 + ... + 10005150.

Almost surely, 2103010000000 is an apocalyptic number.

103010000000 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 103010000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128271644280).

103010000000 is an abundant number, since it is smaller than the sum of its proper divisors (153533288560).

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

103010000000 is an frugal number, since it uses more digits than its factorization.

103010000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10350 (or 10308 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 5.

Adding to 103010000000 its reverse (10301), we get a palindrome (103010010301).

103010000000 divided by its reverse (10301) gives a 7-th power (10000000 = 107).

The spelling of 103010000000 in words is "one hundred three billion, ten million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 10301 12500 15625 16000 20000 20602 25000 31250 40000 41204 50000 51505 62500 78125 80000 82408 100000 103010 125000 156250 164816 200000 206020 250000 257525 312500 329632 400000 412040 500000 515050 625000 659264 824080 1000000 1030100 1250000 1287625 1318528 1648160 2000000 2060200 2500000 2575250 3296320 4120400 5000000 5150500 6438125 6592640 8240800 10000000 10301000 12876250 16481600 20602000 25752500 32190625 32963200 41204000 51505000 64381250 82408000 103010000 128762500 160953125 164816000 206020000 257525000 321906250 412040000 515050000 643812500 804765625 824080000 1030100000 1287625000 1609531250 2060200000 2575250000 3219062500 4120400000 5150500000 6438125000 10301000000 12876250000 20602000000 25752500000 51505000000 103010000000