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100206406160 = 24571710525883
BaseRepresentation
bin101110101010011000…
…1000110101000010000
3100120122120000212021022
41131110301012220100
53120210314444120
6114011215015012
710145131253510
oct1352461065020
9316576025238
10100206406160
11395519a4103
1217506b0a468
1395ac4ca873
144bc862d840
15291740c025
hex1754c46a10

100206406160 has 80 divisors (see below), whose sum is σ = 281925277056. Its totient is φ = 32335509504.

The previous prime is 100206406147. The next prime is 100206406169. The reversal of 100206406160 is 61604602001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (100206406169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5253422 + ... + 5272461.

Almost surely, 2100206406160 is an apocalyptic number.

100206406160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100206406160 is an abundant number, since it is smaller than the sum of its proper divisors (181718870896).

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

100206406160 is a wasteful number, since it uses less digits than its factorization.

100206406160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10525920 (or 10525914 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The spelling of 100206406160 in words is "one hundred billion, two hundred six million, four hundred six thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 170 238 272 280 340 476 560 595 680 952 1190 1360 1904 2380 4760 9520 10525883 21051766 42103532 52629415 73681181 84207064 105258830 147362362 168414128 178940011 210517660 294724724 357880022 368405905 421035320 589449448 715760044 736811810 842070640 894700055 1178898896 1252580077 1431520088 1473623620 1789400110 2505160154 2863040176 2947247240 3578800220 5010320308 5894494480 6262900385 7157600440 10020640616 12525800770 14315200880 20041281232 25051601540 50103203080 100206406160