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152401442100 = 223522969171103
BaseRepresentation
bin1000110111101111010…
…1010111010100110100
3112120101010012102010120
42031323311113110310
54444104232121400
6154002351451540
714003435612115
oct2157365272464
9476333172116
10152401442100
11596a6706146
1225652b26bb0
13114a9c5160b
14753a6a820c
153e6e83cca0
hex237bd57534

152401442100 has 72 divisors (see below), whose sum is σ = 441099267840. Its totient is φ = 40626458880.

The previous prime is 152401442047. The next prime is 152401442119. The reversal of 152401442100 is 1244104251.

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, 805149 + ... + 976251.

It is an arithmetic number, because the mean of its divisors is an integer number (6126378720).

Almost surely, 2152401442100 is an apocalyptic number.

152401442100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152401442100 is an abundant number, since it is smaller than the sum of its proper divisors (288697825740).

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

152401442100 is a wasteful number, since it uses less digits than its factorization.

152401442100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174089 (or 174082 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 152401442100 its reverse (1244104251), we get a palindrome (153645546351).

The spelling of 152401442100 in words is "one hundred fifty-two billion, four hundred one million, four hundred forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 2969 5938 8907 11876 14845 17814 29690 35628 44535 59380 74225 89070 148450 171103 178140 222675 296900 342206 445350 513309 684412 855515 890700 1026618 1711030 2053236 2566545 3422060 4277575 5133090 8555150 10266180 12832725 17110300 25665450 51330900 508004807 1016009614 1524014421 2032019228 2540024035 3048028842 5080048070 6096057684 7620072105 10160096140 12700120175 15240144210 25400240350 30480288420 38100360525 50800480700 76200721050 152401442100