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345542201100 = 22345242659531
BaseRepresentation
bin1010000011100111110…
…10111000111100001100
31020000220102121112220000
411001303322320330030
521130132300413400
6422423452324300
733651600151005
oct5016372707414
91200812545800
10345542201100
111235a8623028
1256b75473690
132677a17c4b5
1412a1d7d01ac
158ec59ee600
hex5073eb8f0c

345542201100 has 90 divisors (see below), whose sum is σ = 1120111331724. Its totient is φ = 92144584800.

The previous prime is 345542201087. The next prime is 345542201111. The reversal of 345542201100 is 1102245543.

345542201100 is a `hidden beast` number, since 3 + 4 + 5 + 542 + 2 + 0 + 110 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 21321666 + ... + 21337865.

Almost surely, 2345542201100 is an apocalyptic number.

345542201100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345542201100 is an abundant number, since it is smaller than the sum of its proper divisors (774569130624).

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

345542201100 is a wasteful number, since it uses less digits than its factorization.

345542201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42659557 (or 42659541 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 345542201100 its reverse (1102245543), we get a palindrome (346644446643).

The spelling of 345542201100 in words is "three hundred forty-five billion, five hundred forty-two million, two hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2700 4050 8100 42659531 85319062 127978593 170638124 213297655 255957186 383935779 426595310 511914372 639892965 767871558 853190620 1066488275 1151807337 1279785930 1535743116 1919678895 2132976550 2303614674 2559571860 3199464825 3455422011 3839357790 4265953100 4607229348 5759036685 6398929650 6910844022 7678715580 9598394475 11518073370 12797859300 13821688044 17277110055 19196788950 23036146740 28795183425 34554220110 38393577900 57590366850 69108440220 86385550275 115180733700 172771100550 345542201100