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100313032122 = 2333159924153
BaseRepresentation
bin101110101101100011…
…1110110010110111010
3100120220222200000121000
41131123013312112322
53120420114011442
6114025544225430
710150564463412
oct1353307662672
9316828600530
10100313032122
11395a7100836
121753676b276
1395c8621254
144bd8867642
15292196ed4c
hex175b1f65ba

100313032122 has 32 divisors (see below), whose sum is σ = 230108751360. Its totient is φ = 32359042080.

The previous prime is 100313032121. The next prime is 100313032129. The reversal of 100313032122 is 221230313001.

100313032122 is a `hidden beast` number, since 10 + 0 + 313 + 0 + 321 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100313032095 and 100313032104.

It is not an unprimeable number, because it can be changed into a prime (100313032121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29960403 + ... + 29963750.

It is an arithmetic number, because the mean of its divisors is an integer number (7190898480).

Almost surely, 2100313032122 is an apocalyptic number.

100313032122 is an abundant number, since it is smaller than the sum of its proper divisors (129795719238).

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

100313032122 is a wasteful number, since it uses less digits than its factorization.

100313032122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59924195 (or 59924189 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100313032122 its reverse (221230313001), we get a palindrome (321543345123).

The spelling of 100313032122 in words is "one hundred billion, three hundred thirteen million, thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1674 59924153 119848306 179772459 359544918 539317377 1078634754 1617952131 1857648743 3235904262 3715297486 5572946229 11145892458 16718838687 33437677374 50156516061 100313032122