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100231001202114 = 23331471273939363
BaseRepresentation
bin10110110010100011011001…
…001110001101110111000010
3111010212222201210211110021000
4112302203121032031313002
5101114141042301431424
6553101253012112430
730053310435023556
oct2662433116156702
9433788653743230
10100231001202114
1129a33802186372
12b2a9533605716
1343c09870985a3
141aa72c62bd866
15b8c3896da3c9
hex5b28d938ddc2

100231001202114 has 64 divisors (see below), whose sum is σ = 234812503572480. Its totient is φ = 31644653752080.

The previous prime is 100231001202103. The next prime is 100231001202119. The reversal of 100231001202114 is 411202100132001.

100231001202114 is a `hidden beast` number, since 100 + 231 + 0 + 0 + 120 + 211 + 4 = 666.

100231001202114 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1002310012021142 (a number of 29 digits) contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100231001202119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 636891004 + ... + 637048359.

It is an arithmetic number, because the mean of its divisors is an integer number (3668945368320).

Almost surely, 2100231001202114 is an apocalyptic number.

100231001202114 is an abundant number, since it is smaller than the sum of its proper divisors (134581502370366).

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

100231001202114 is a wasteful number, since it uses less digits than its factorization.

100231001202114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273939452 (or 1273939446 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 100231001202114 its reverse (411202100132001), we get a palindrome (511433101334115).

The spelling of 100231001202114 in words is "one hundred trillion, two hundred thirty-one billion, one million, two hundred two thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 27 31 47 54 62 93 94 141 186 279 282 423 558 837 846 1269 1457 1674 2538 2914 4371 8742 13113 26226 39339 78678 1273939363 2547878726 3821818089 7643636178 11465454267 22930908534 34396362801 39492120253 59875150061 68792725602 78984240506 118476360759 119750300122 179625450183 236952721518 355429082277 359250900366 538876350549 710858164554 1066287246831 1077752701098 1616629051647 1856129651891 2132574493662 3233258103294 3712259303782 5568388955673 11136777911346 16705166867019 33410333734038 50115500601057 100231001202114