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142610506100 = 22521783888533
BaseRepresentation
bin1000010011010000111…
…1111010000101110100
3111122002202211022220022
42010310033322011310
54314031242143400
6145303034024312
713206010205156
oct2046417720564
9448082738808
10142610506100
1155531a04aa7
122377bb78098
13105a9672c6a
146c8c206ad6
153a99ec9b85
hex21343fa174

142610506100 has 36 divisors (see below), whose sum is σ = 327668613804. Its totient is φ = 53688660480.

The previous prime is 142610506081. The next prime is 142610506231. The reversal of 142610506100 is 1605016241.

It can be written as a sum of positive squares in 6 ways, for example, as 5350629904 + 137259876196 = 73148^2 + 370486^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 142610506100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41942567 + ... + 41945966.

It is an arithmetic number, because the mean of its divisors is an integer number (9101905939).

Almost surely, 2142610506100 is an apocalyptic number.

142610506100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142610506100 is an abundant number, since it is smaller than the sum of its proper divisors (185058107704).

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

142610506100 is a wasteful number, since it uses less digits than its factorization.

142610506100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83888564 (or 83888557 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The spelling of 142610506100 in words is "one hundred forty-two billion, six hundred ten million, five hundred six thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 83888533 167777066 335554132 419442665 838885330 1426105061 1677770660 2097213325 2852210122 4194426650 5704420244 7130525305 8388853300 14261050610 28522101220 35652626525 71305253050 142610506100