Search a number
-
+
101212112120202 = 232531011278271019
BaseRepresentation
bin10111000000110101000111…
…111111010110100110001010
3111021100210011010010002121200
4113000311013333112212022
5101231224401200321302
6555132111420045030
730214222330154136
oct2700650777264612
9437323133102550
10101212112120202
112a2818a7774466
12b427703693776
134462351b90885
141adc999bc23c6
15ba7b5c9c681c
hex5c0d47fd698a

101212112120202 has 96 divisors (see below), whose sum is σ = 227419436574720. Its totient is φ = 32515025961600.

The previous prime is 101212112120191. The next prime is 101212112120243. The reversal of 101212112120202 is 202021211212101.

101212112120202 is a `hidden beast` number, since 10 + 121 + 211 + 2 + 120 + 202 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8101449 + ... + 16372467.

It is an arithmetic number, because the mean of its divisors is an integer number (2368952464320).

Almost surely, 2101212112120202 is an apocalyptic number.

101212112120202 is an abundant number, since it is smaller than the sum of its proper divisors (126207324454518).

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

101212112120202 is a wasteful number, since it uses less digits than its factorization.

101212112120202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8271308 (or 8271305 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101212112120202 its reverse (202021211212101), we get a palindrome (303233323332303).

The spelling of 101212112120202 in words is "one hundred one trillion, two hundred twelve billion, one hundred twelve million, one hundred twenty thousand, two hundred two".

Divisors: 1 2 3 6 9 18 53 101 106 127 159 202 254 303 318 381 477 606 762 909 954 1143 1818 2286 5353 6731 10706 12827 13462 16059 20193 25654 32118 38481 40386 48177 60579 76962 96354 115443 121158 230886 679831 1359662 2039493 4078986 6118479 8271019 12236958 16542038 24813057 49626114 74439171 148878342 438364007 835372919 876728014 1050419413 1315092021 1670745838 2100838826 2506118757 2630184042 3151258239 3945276063 5012237514 6302516478 7518356271 7890552126 9453774717 15036712542 18907549434 44274764707 55672228889 88549529414 106092360713 111344457778 132824294121 167016686667 212184721426 265648588242 318277082139 334033373334 398472882363 501050060001 636554164278 796945764726 954831246417 1002100120002 1909662492834 5622895117789 11245790235578 16868685353367 33737370706734 50606056060101 101212112120202