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100216661610 = 235132231152313
BaseRepresentation
bin101110101010101100…
…0001110011001101010
3100120200021022220002210
41131111120032121222
53120220431132420
6114012222505550
710145314366002
oct1352530163152
9316607286083
10100216661610
113955776918a
121750a4352b6
1395b167b790
144bc9b3d002
1529182859e0
hex175560e66a

100216661610 has 64 divisors (see below), whose sum is σ = 260183282688. Its totient is φ = 24558073344.

The previous prime is 100216661561. The next prime is 100216661617. The reversal of 100216661610 is 16166612001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (100216661617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 489187 + ... + 663126.

It is an arithmetic number, because the mean of its divisors is an integer number (4065363792).

Almost surely, 2100216661610 is an apocalyptic number.

100216661610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100216661610 is an abundant number, since it is smaller than the sum of its proper divisors (159966621078).

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

100216661610 is a wasteful number, since it uses less digits than its factorization.

100216661610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152559.

The product of its (nonzero) digits is 2592, while the sum is 30.

The spelling of 100216661610 in words is "one hundred billion, two hundred sixteen million, six hundred sixty-one thousand, six hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 223 390 446 669 1115 1338 2230 2899 3345 5798 6690 8697 14495 17394 28990 43485 86970 1152313 2304626 3456939 5761565 6913878 11523130 14980069 17284695 29960138 34569390 44940207 74900345 89880414 149800690 224701035 256965799 449402070 513931598 770897397 1284828995 1541794794 2569657990 3340555387 3854486985 6681110774 7708973970 10021666161 16702776935 20043332322 33405553870 50108330805 100216661610