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101120221131120 = 24325657721353923
BaseRepresentation
bin10110111111011111100010…
…110111000011000101110000
3111021000222222002000012010200
4112333133202313003011300
5101223223203102143440
6555021553245155200
730204460226510652
oct2677374267030560
9437028862005120
10101120221131120
112a2469326a2284
12b41193955bb00
134456799371359
141ad835dac46d2
15ba558061bc30
hex5bf7e2dc3170

101120221131120 has 120 divisors (see below), whose sum is σ = 339647058990096. Its totient is φ = 26961291085824.

The previous prime is 101120221131119. The next prime is 101120221131151. The reversal of 101120221131120 is 21131122021101.

It is a happy number.

101120221131120 is a `hidden beast` number, since 1 + 0 + 1 + 120 + 2 + 211 + 311 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101120221131093 and 101120221131102.

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, 5941522 + ... + 15412401.

Almost surely, 2101120221131120 is an apocalyptic number.

101120221131120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101120221131120 is an abundant number, since it is smaller than the sum of its proper divisors (238526837858976).

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

101120221131120 is a wasteful number, since it uses less digits than its factorization.

101120221131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21360519 (or 21360510 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 101120221131120 its reverse (21131122021101), we get a palindrome (122251343152221).

The spelling of 101120221131120 in words is "one hundred one trillion, one hundred twenty billion, two hundred twenty-one million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 6577 13154 19731 26308 32885 39462 52616 59193 65770 78924 98655 105232 118386 131540 157848 197310 236772 263080 295965 315696 394620 473544 526160 591930 789240 947088 1183860 1578480 2367720 4735440 21353923 42707846 64061769 85415692 106769615 128123538 170831384 192185307 213539230 256247076 320308845 341662768 384370614 427078460 512494152 640617690 768741228 854156920 960926535 1024988304 1281235380 1537482456 1708313840 1921853070 2562470760 3074964912 3843706140 5124941520 7687412280 15374824560 140444751571 280889503142 421334254713 561779006284 702223757855 842668509426 1123558012568 1264002764139 1404447515710 1685337018852 2106671273565 2247116025136 2528005528278 2808895031420 3370674037704 4213342547130 5056011056556 5617790062840 6320013820695 6741348075408 8426685094260 10112022113112 11235580125680 12640027641390 16853370188520 20224044226224 25280055282780 33706740377040 50560110565560 101120221131120