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101005610060 = 225191090324379
BaseRepresentation
bin101111000010001100…
…1110100110001001100
3100122201020212121220202
41132010121310301030
53123324414010220
6114222404433032
710204004343155
oct1360431646114
9318636777822
10101005610060
11399220408a3
12176aa6a8778
1396a8c62294
144c6282c92c
152962678275
hex1784674c4c

101005610060 has 48 divisors (see below), whose sum is σ = 223305196800. Its totient is φ = 38270729664.

The previous prime is 101005610009. The next prime is 101005610081. The reversal of 101005610060 is 60016500101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4130951 + ... + 4155329.

It is an arithmetic number, because the mean of its divisors is an integer number (4652191600).

Almost surely, 2101005610060 is an apocalyptic number.

101005610060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101005610060 is an abundant number, since it is smaller than the sum of its proper divisors (122299586740).

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

101005610060 is a wasteful number, since it uses less digits than its factorization.

101005610060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35310 (or 35308 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The spelling of 101005610060 in words is "one hundred one billion, five million, six hundred ten thousand, sixty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 10903 21806 24379 43612 48758 54515 97516 109030 121895 207157 218060 243790 414314 463201 487580 828628 926402 1035785 1852804 2071570 2316005 4143140 4632010 9264020 265804237 531608474 1063216948 1329021185 2658042370 5050280503 5316084740 10100561006 20201122012 25251402515 50502805030 101005610060