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30102332100 = 22352837571597
BaseRepresentation
bin11100000010001111…
…010010001011000100
32212200212211220121220
4130002033102023010
5443122144111400
621455005240340
72113651413111
oct340217221304
985625756556
1030102332100
1111847a88715
125a012630b0
132ab9644239
141657c85908
15bb2ade7a0
hex7023d22c4

30102332100 has 144 divisors (see below), whose sum is σ = 88317139008. Its totient is φ = 7915138560.

The previous prime is 30102332077. The next prime is 30102332119. The reversal of 30102332100 is 123320103.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30102332100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18848502 + ... + 18850098.

Almost surely, 230102332100 is an apocalyptic number.

30102332100 is a gapful number since it is divisible by the number (30) 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 30102332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44158569504).

30102332100 is an abundant number, since it is smaller than the sum of its proper divisors (58214806908).

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

30102332100 is a wasteful number, since it uses less digits than its factorization.

30102332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2454 (or 2447 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 30102332100 its reverse (123320103), we get a palindrome (30225652203).

The spelling of 30102332100 in words is "thirty billion, one hundred two million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 83 100 150 166 249 300 332 415 498 757 830 996 1245 1514 1597 1660 2075 2271 2490 3028 3194 3785 4150 4542 4791 4980 6225 6388 7570 7985 8300 9084 9582 11355 12450 15140 15970 18925 19164 22710 23955 24900 31940 37850 39925 45420 47910 56775 62831 75700 79850 95820 113550 119775 125662 132551 159700 188493 227100 239550 251324 265102 314155 376986 397653 479100 530204 628310 662755 753972 795306 942465 1208929 1256620 1325510 1570775 1590612 1884930 1988265 2417858 2651020 3141550 3313775 3626787 3769860 3976530 4712325 4835716 6044645 6283100 6627550 7253574 7953060 9424650 9941325 12089290 13255100 14507148 18133935 18849300 19882650 24178580 30223225 36267870 39765300 60446450 72535740 90669675 100341107 120892900 181339350 200682214 301023321 362678700 401364428 501705535 602046642 1003411070 1204093284 1505116605 2006822140 2508527675 3010233210 5017055350 6020466420 7525583025 10034110700 15051166050 30102332100