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101013100202232 = 233320691348716759
BaseRepresentation
bin10110111101111011110001…
…111101001000100011111000
3111020122202110122002011212000
4112331323301331020203320
5101214444312122432412
6554500435544021000
730163645534602561
oct2675736175104370
9436582418064760
10101013100202232
112a205462726989
12b3b5022a61760
13444965749802a
141ad30bb029168
15ba28b117c4dc
hex5bdef1f488f8

101013100202232 has 128 divisors (see below), whose sum is σ = 280765128960000. Its totient is φ = 33650255979648.

The previous prime is 101013100202149. The next prime is 101013100202279. The reversal of 101013100202232 is 232202001310101.

101013100202232 is a `hidden beast` number, since 1 + 0 + 101 + 310 + 0 + 20 + 2 + 232 = 666.

101013100202232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6027385869 + ... + 6027402627.

It is an arithmetic number, because the mean of its divisors is an integer number (2193477570000).

Almost surely, 2101013100202232 is an apocalyptic number.

101013100202232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101013100202232 is an abundant number, since it is smaller than the sum of its proper divisors (179752028757768).

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

101013100202232 is a wasteful number, since it uses less digits than its factorization.

101013100202232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32330 (or 32320 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101013100202232 its reverse (232202001310101), we get a palindrome (333215101512333).

The spelling of 101013100202232 in words is "one hundred one trillion, thirteen billion, one hundred million, two hundred two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 2069 4138 6207 8276 12414 13487 16552 16759 18621 24828 26974 33518 37242 40461 49656 50277 53948 55863 67036 74484 80922 100554 107896 111726 121383 134072 148968 150831 161844 201108 223452 242766 301662 323688 364149 402216 446904 452493 485532 603324 728298 904986 971064 1206648 1456596 1809972 2913192 3619944 27904603 34674371 55809206 69348742 83713809 104023113 111618412 138697484 167427618 208046226 223236824 226028633 251141427 277394968 312069339 334855236 416092452 452057266 502282854 624138678 669710472 678085899 753424281 832184904 904114532 936208017 1004565708 1248277356 1356171798 1506848562 1808229064 1872416034 2009131416 2034257697 2496554712 2712343596 3013697124 3744832068 4068515394 5424687192 6027394248 6102773091 7489664136 8137030788 12205546182 16274061576 24411092364 48822184728 467653241677 935306483354 1402959725031 1870612966708 2805919450062 3741225933416 4208879175093 5611838900124 8417758350186 11223677800248 12626637525279 16835516700372 25253275050558 33671033400744 50506550101116 101013100202232