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201120020001120 = 25351138090912879
BaseRepresentation
bin101101101110101011100111…
…010110010111000101100000
3222101002212220222212020221010
4231232223213112113011200
5202330122300110013440
61551425132305100520
760235304404251333
oct5556534726270540
9871085828766833
10201120020001120
11590a0581114510
121a6824a7927740
13882b6c892585c
143794391cdc61a
15183b8d740c580
hexb6eae7597160

201120020001120 has 96 divisors (see below), whose sum is σ = 691121523294720. Its totient is φ = 48756368483840.

The previous prime is 201120020001119. The next prime is 201120020001137. The reversal of 201120020001120 is 21100020021102.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 201120020001096 and 201120020001105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19045451160 + ... + 19045461719.

It is an arithmetic number, because the mean of its divisors is an integer number (7199182534320).

Almost surely, 2201120020001120 is an apocalyptic number.

201120020001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201120020001120 is an abundant number, since it is smaller than the sum of its proper divisors (490001503293600).

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

201120020001120 is a wasteful number, since it uses less digits than its factorization.

201120020001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38090912908 (or 38090912900 counting only the distinct ones).

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

Adding to 201120020001120 its reverse (21100020021102), we get a palindrome (222220040022222).

The spelling of 201120020001120 in words is "two hundred one trillion, one hundred twenty billion, twenty million, one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 38090912879 76181825758 114272738637 152363651516 190454564395 228545477274 304727303032 380909128790 419000041669 457090954548 571363693185 609454606064 761818257580 838000083338 914181909096 1142727386370 1218909212128 1257000125007 1523636515160 1676000166676 1828363818192 2095000208345 2285454772740 2514000250014 3047273030320 3352000333352 3656727636384 4190000416690 4570909545480 5028000500028 6094546060640 6285000625035 6704000666704 8380000833380 9141819090960 10056001000056 12570001250070 13408001333408 16760001666760 18283638181920 20112002000112 25140002500140 33520003333520 40224004000224 50280005000280 67040006667040 100560010000560 201120020001120