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101211022020222 = 232102142111307809
BaseRepresentation
bin10111000000110100000111…
…000000111100111001111110
3111021100200100010220021120100
4113000310013000330321332
5101231220133114121342
6555131411315301530
730214153322363112
oct2700640700747176
9437320303807510
10101211022020222
112a281398401194
12b42745a5aa8a6
13446220a0980ba
141adc8d50dd742
15ba7ae6e48e4c
hex5c0d0703ce7e

101211022020222 has 48 divisors (see below), whose sum is σ = 219557622407760. Its totient is φ = 33695934681600.

The previous prime is 101211022020203. The next prime is 101211022020223. The reversal of 101211022020222 is 222020220112101.

It is a happy number.

101211022020222 is a `hidden beast` number, since 10 + 1 + 211 + 0 + 220 + 2 + 0 + 222 = 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 = 101211022020195 and 101211022020204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211022020223) 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 23 ways as a sum of consecutive naturals, for example, 76735854 + ... + 78043662.

It is an arithmetic number, because the mean of its divisors is an integer number (4574117133495).

Almost surely, 2101211022020222 is an apocalyptic number.

101211022020222 is an abundant number, since it is smaller than the sum of its proper divisors (118346600387538).

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

101211022020222 is a wasteful number, since it uses less digits than its factorization.

101211022020222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313049 (or 1313046 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101211022020222 its reverse (222020220112101), we get a palindrome (323231242132323).

The spelling of 101211022020222 in words is "one hundred one trillion, two hundred eleven billion, twenty-two million, twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 1021 2042 3063 4211 6126 8422 9189 12633 18378 25266 37899 75798 1307809 2615618 3923427 4299431 7846854 8598862 11770281 12898293 23540562 25796586 38694879 77389758 1335272989 2670545978 4005818967 5507183699 8011637934 11014367398 12017456901 16521551097 24034913802 33043102194 49564653291 99129306582 5622834556679 11245669113358 16868503670037 33737007340074 50605511010111 101211022020222