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131133110032100 = 225211866913751519
BaseRepresentation
bin11101110100001111001110…
…011100010001011011100100
3122012022012110220102221212202
4131310033032130101123210
5114141441102132011400
61142521415154234032
736423024466105031
oct3564171634213344
9565265426387782
10131133110032100
113886826aa86410
121285a585285918
135822a50b53917
142454c3ab5a388
151026116bee4d5
hex7743ce7116e4

131133110032100 has 72 divisors (see below), whose sum is σ = 310463666553600. Its totient is φ = 47679263209600.

The previous prime is 131133110032097. The next prime is 131133110032123. The reversal of 131133110032100 is 1230011331131.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 2660141 + ... + 16411659.

It is an arithmetic number, because the mean of its divisors is an integer number (4311995368800).

Almost surely, 2131133110032100 is an apocalyptic number.

131133110032100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131133110032100 is an abundant number, since it is smaller than the sum of its proper divisors (179330556521500).

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

131133110032100 is a wasteful number, since it uses less digits than its factorization.

131133110032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13760213 (or 13760206 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 131133110032100 its reverse (1230011331131), we get a palindrome (132363121363231).

The spelling of 131133110032100 in words is "one hundred thirty-one trillion, one hundred thirty-three billion, one hundred ten million, thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 8669 17338 34676 43345 86690 95359 173380 190718 216725 381436 433450 476795 866900 953590 1907180 2383975 4767950 9535900 13751519 27503038 55006076 68757595 137515190 151266709 275030380 302533418 343787975 605066836 687575950 756333545 1375151900 1512667090 3025334180 3781667725 7563335450 15126670900 119211918211 238423836422 476847672844 596059591055 1192119182110 1311331100321 2384238364220 2622662200642 2980297955275 5245324401284 5960595910550 6556655501605 11921191821100 13113311003210 26226622006420 32783277508025 65566555016050 131133110032100