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120102212100 = 223521343716173
BaseRepresentation
bin110111111011010100…
…1100101001000000100
3102111000010111112010210
41233312221211020010
53431432131241400
6131101343115420
711451146646603
oct1576651451004
9374003445123
10120102212100
1146a31627632
121b339ba2b70
13b4304239c0
145b54b51a3a
1531cde45950
hex1bf6a65204

120102212100 has 144 divisors (see below), whose sum is σ = 382929643712. Its totient is φ = 28876055040.

The previous prime is 120102212039. The next prime is 120102212123. The reversal of 120102212100 is 1212201021.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 190387 + ... + 525786.

Almost surely, 2120102212100 is an apocalyptic number.

120102212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120102212100 is an abundant number, since it is smaller than the sum of its proper divisors (262827431612).

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

120102212100 is a wasteful number, since it uses less digits than its factorization.

120102212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716246 (or 716239 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120102212100 its reverse (1212201021), we get a palindrome (121314413121).

The spelling of 120102212100 in words is "one hundred twenty billion, one hundred two million, two hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 43 50 52 60 65 75 78 86 100 129 130 150 156 172 195 215 258 260 300 325 390 430 516 559 645 650 780 860 975 1075 1118 1290 1300 1677 1950 2150 2236 2580 2795 3225 3354 3900 4300 5590 6450 6708 8385 11180 12900 13975 16770 27950 33540 41925 55900 83850 167700 716173 1432346 2148519 2864692 3580865 4297038 7161730 8594076 9310249 10742595 14323460 17904325 18620498 21485190 27930747 30795439 35808650 37240996 42970380 46551245 53712975 55861494 61590878 71617300 92386317 93102490 107425950 111722988 123181756 139653735 153977195 184772634 186204980 214851900 232756225 279307470 307954390 369545268 400340707 461931585 465512450 558614940 615908780 698268675 769885975 800681414 923863170 931024900 1201022121 1396537350 1539771950 1601362828 1847726340 2001703535 2309657925 2402044242 2793074700 3079543900 4003407070 4619315850 4804088484 6005110605 8006814140 9238631700 10008517675 12010221210 20017035350 24020442420 30025553025 40034070700 60051106050 120102212100