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131211133322100 = 223521333643880339
BaseRepresentation
bin11101110101010111111000…
…111111100000001101110100
3122012120122212111000202112020
4131311113320333200031310
5114144230400112301400
61143021321300153140
736431456126115516
oct3565277077401564
9565518774022466
10131211133322100
1138898369102a67
121287171b0987b0
13582a2065a7140
14245891d17dbb6
1510281818ab2a0
hex7755f8fe0374

131211133322100 has 72 divisors (see below), whose sum is σ = 408840433891680. Its totient is φ = 32298125124480.

The previous prime is 131211133322033. The next prime is 131211133322117. The reversal of 131211133322100 is 1223331112131.

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, 16821936270 + ... + 16821944069.

Almost surely, 2131211133322100 is an apocalyptic number.

131211133322100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131211133322100 is an abundant number, since it is smaller than the sum of its proper divisors (277629300569580).

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

131211133322100 is a wasteful number, since it uses less digits than its factorization.

131211133322100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33643880369 (or 33643880362 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 131211133322100 its reverse (1223331112131), we get a palindrome (132434464434231).

The spelling of 131211133322100 in words is "one hundred thirty-one trillion, two hundred eleven billion, one hundred thirty-three million, three hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 33643880339 67287760678 100931641017 134575521356 168219401695 201863282034 336438803390 403726564068 437370444407 504658205085 672877606780 841097008475 874740888814 1009316410170 1312111333221 1682194016950 1749481777628 2018632820340 2186852222035 2523291025425 2624222666442 3364388033900 4373704444070 5046582050850 5248445332884 6560556666105 8747408888140 10093164101700 10934261110175 13121113332210 21868522220350 26242226664420 32802783330525 43737044440700 65605566661050 131211133322100