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100144320252120 = 233251914640982493
BaseRepresentation
bin10110110001010010101010…
…101000101000100011011000
3111010120200222212022221210200
4112301102222220220203120
5101111231031441031440
6552553355434342200
730044121420063624
oct2661225250504330
9433520885287720
10100144320252120
11299aaa71030711
12b29478228a960
1343b5751a98531
141aa302211a184
15b89eb4925c30
hex5b14aaa288d8

100144320252120 has 96 divisors (see below), whose sum is σ = 342598990359600. Its totient is φ = 25299617746176.

The previous prime is 100144320252061. The next prime is 100144320252131. The reversal of 100144320252120 is 21252023441001.

100144320252120 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 443 + 2 + 0 + 2 + 5 + 212 + 0 = 666.

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, 7320484407 + ... + 7320498086.

Almost surely, 2100144320252120 is an apocalyptic number.

100144320252120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100144320252120 is an abundant number, since it is smaller than the sum of its proper divisors (242454670107480).

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

100144320252120 is a wasteful number, since it uses less digits than its factorization.

100144320252120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14640982529 (or 14640982522 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 100144320252120 its reverse (21252023441001), we get a palindrome (121396343693121).

The spelling of 100144320252120 in words is "one hundred trillion, one hundred forty-four billion, three hundred twenty million, two hundred fifty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3420 6840 14640982493 29281964986 43922947479 58563929972 73204912465 87845894958 117127859944 131768842437 146409824930 175691789916 219614737395 263537684874 278178667367 292819649860 351383579832 439229474790 527075369748 556357334734 585639299720 658844212185 834536002101 878458949580 1054150739496 1112714669468 1317688424370 1390893336835 1669072004202 1756917899160 2225429338936 2503608006303 2635376848740 2781786673670 3338144008404 4172680010505 5007216012606 5270753697480 5563573347340 6676288016808 8345360021010 10014432025212 11127146694680 12518040031515 16690720042020 20028864050424 25036080063030 33381440084040 50072160126060 100144320252120