Search a number
-
+
122021202100 = 22527831720959
BaseRepresentation
bin111000110100100000…
…1111100100010110100
3102122221212102022112111
41301221001330202310
53444344411431400
6132020013500404
711546541050620
oct1615101744264
9378855368474
10122021202100
1147826873186
121b7947a1704
13b677b76045
145c97960180
1532926553ba
hex1c6907c8b4

122021202100 has 72 divisors (see below), whose sum is σ = 302663406080. Its totient is φ = 41828814720.

The previous prime is 122021202097. The next prime is 122021202101. The reversal of 122021202100 is 1202120221.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122021202101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5811421 + ... + 5832379.

Almost surely, 2122021202100 is an apocalyptic number.

122021202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122021202100 is an abundant number, since it is smaller than the sum of its proper divisors (180642203980).

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

122021202100 is a wasteful number, since it uses less digits than its factorization.

122021202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29297 (or 29290 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 122021202100 its reverse (1202120221), we get a palindrome (123223322321).

The spelling of 122021202100 in words is "one hundred twenty-two billion, twenty-one million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 8317 16634 20959 33268 41585 41918 58219 83170 83836 104795 116438 146713 166340 207925 209590 232876 291095 293426 415850 419180 523975 582190 586852 733565 831700 1047950 1164380 1455475 1467130 2095900 2910950 2934260 3667825 5821900 7335650 14671300 174316003 348632006 697264012 871580015 1220212021 1743160030 2440424042 3486320060 4357900075 4880848084 6101060105 8715800150 12202120210 17431600300 24404240420 30505300525 61010601050 122021202100