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2101022022112 = 251337136500911
BaseRepresentation
bin11110100100101110101…
…010111101100111100000
321102212002211121021222121
4132210232222331213200
5233410343114201422
64245110213314024
7304536166344616
oct36445652754740
97385084537877
102101022022112
11740047181262
1229b238035914
13123182a21910
14739935516b6
15399bbce88c7
hex1e92eabd9e0

2101022022112 has 48 divisors (see below), whose sum is σ = 4574964566592. Its totient is φ = 943494289920.

The previous prime is 2101022022107. The next prime is 2101022022119. The reversal of 2101022022112 is 2112202201012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101022022119) 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 7 ways as a sum of consecutive naturals, for example, 68235064 + ... + 68265847.

It is an arithmetic number, because the mean of its divisors is an integer number (95311761804).

Almost surely, 22101022022112 is an apocalyptic number.

It is an amenable number.

2101022022112 is an abundant number, since it is smaller than the sum of its proper divisors (2473942544480).

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

2101022022112 is a wasteful number, since it uses less digits than its factorization.

2101022022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136500971 (or 136500963 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2101022022112 its reverse (2112202201012), we get a palindrome (4213224223124).

The spelling of 2101022022112 in words is "two trillion, one hundred one billion, twenty-two million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 37 52 74 104 148 208 296 416 481 592 962 1184 1924 3848 7696 15392 136500911 273001822 546003644 1092007288 1774511843 2184014576 3549023686 4368029152 5050533707 7098047372 10101067414 14196094744 20202134828 28392189488 40404269656 56784378976 65656938191 80808539312 131313876382 161617078624 262627752764 525255505528 1050511011056 2101022022112