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1030103800 = 235211895261
BaseRepresentation
bin111101011001100…
…010001011111000
32122210022200202121
4331121202023320
54102201310200
6250114411024
734345511035
oct7531421370
92583280677
101030103800
11489515260
12248b90a74
1313554a49b
149ab4638c
156067ae1a
hex3d6622f8

1030103800 has 96 divisors (see below), whose sum is σ = 2642576400. Its totient is φ = 370304000.

The previous prime is 1030103779. The next prime is 1030103827. The reversal of 1030103800 is 83010301.

It is a super-2 number, since 2×10301038002 = 2122227677548880000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193170 + ... + 198430.

Almost surely, 21030103800 is an apocalyptic number.

1030103800 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 1030103800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321288200).

1030103800 is an abundant number, since it is smaller than the sum of its proper divisors (1612472600).

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

1030103800 is a wasteful number, since it uses less digits than its factorization.

1030103800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5377 (or 5368 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1030103800 is about 32095.2301752145. The cubic root of 1030103800 is about 1009.9355577614.

The spelling of 1030103800 in words is "one billion, thirty million, one hundred three thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 89 100 110 178 200 220 275 356 440 445 550 712 890 979 1100 1780 1958 2200 2225 3560 3916 4450 4895 5261 7832 8900 9790 10522 17800 19580 21044 24475 26305 39160 42088 48950 52610 57871 97900 105220 115742 131525 195800 210440 231484 263050 289355 462968 468229 526100 578710 936458 1052200 1157420 1446775 1872916 2314840 2341145 2893550 3745832 4682290 5150519 5787100 9364580 10301038 11574200 11705725 18729160 20602076 23411450 25752595 41204152 46822900 51505190 93645800 103010380 128762975 206020760 257525950 515051900 1030103800