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103054088000 = 265321161051
BaseRepresentation
bin101111111111010000…
…0001001011101000000
3100212000000110002101002
41133332200021131000
53142023321304000
6115201542431132
710305530203103
oct1377640113500
9325000402332
10103054088000
113a783389676
1217b807324a8
139944480cc6
144db890673a
152a324148d5
hex17fe809740

103054088000 has 112 divisors (see below), whose sum is σ = 256427191488. Its totient is φ = 41025600000.

The previous prime is 103054087999. The next prime is 103054088003. The reversal of 103054088000 is 880450301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103054088003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1657475 + ... + 1718525.

Almost surely, 2103054088000 is an apocalyptic number.

103054088000 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 103054088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128213595744).

103054088000 is an abundant number, since it is smaller than the sum of its proper divisors (153373103488).

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

103054088000 is an equidigital number, since it uses as much as digits as its factorization.

103054088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61289 (or 61269 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The spelling of 103054088000 in words is "one hundred three billion, fifty-four million, eighty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 211 250 320 400 422 500 800 844 1000 1055 1600 1688 2000 2110 3376 4000 4220 5275 6752 8000 8440 10550 13504 16880 21100 26375 33760 42200 52750 61051 67520 84400 105500 122102 168800 211000 244204 305255 337600 422000 488408 610510 844000 976816 1221020 1526275 1688000 1953632 2442040 3052550 3907264 4884080 6105100 7631375 9768160 12210200 12881761 15262750 19536320 24420400 25763522 30525500 48840800 51527044 61051000 64408805 97681600 103054088 122102000 128817610 206108176 244204000 257635220 322044025 412216352 488408000 515270440 644088050 824432704 1030540880 1288176100 1610220125 2061081760 2576352200 3220440250 4122163520 5152704400 6440880500 10305408800 12881761000 20610817600 25763522000 51527044000 103054088000