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141412211200100 = 225219233235977373
BaseRepresentation
bin100000001001110100011000…
…100111011001000001100100
3200112200212122010202120111102
4200021310120213121001210
5122013344202031400400
61220431512322055232
741533460264315441
oct4011643047310144
9615625563676442
10141412211200100
1141070644682945
1213a3a7734aa518
1360ba164158259
1426cc55d5b09c8
1511536c96d99d5
hex809d189d9064

141412211200100 has 72 divisors (see below), whose sum is σ = 337059403275840. Its totient is φ = 51257881572480.

The previous prime is 141412211200097. The next prime is 141412211200111. The reversal of 141412211200100 is 1002112214141.

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, 1617944987 + ... + 1618032386.

Almost surely, 2141412211200100 is an apocalyptic number.

141412211200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141412211200100 is an abundant number, since it is smaller than the sum of its proper divisors (195647192075740).

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

141412211200100 is a wasteful number, since it uses less digits than its factorization.

141412211200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3235977429 (or 3235977422 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 141412211200100 its reverse (1002112214141), we get a palindrome (142414323414241).

The spelling of 141412211200100 in words is "one hundred forty-one trillion, four hundred twelve billion, two hundred eleven million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 23 25 38 46 50 76 92 95 100 115 190 230 380 437 460 475 575 874 950 1150 1748 1900 2185 2300 4370 8740 10925 21850 43700 3235977373 6471954746 12943909492 16179886865 32359773730 61483570087 64719547460 74427479579 80899434325 122967140174 148854959158 161798868650 245934280348 297709918316 307417850435 323597737300 372137397895 614835700870 744274795790 1229671401740 1414122112001 1488549591580 1537089252175 1860686989475 2828244224002 3074178504350 3721373978950 5656488448004 6148357008700 7070610560005 7442747957900 14141221120010 28282442240020 35353052800025 70706105600050 141412211200100