Search a number
-
+
122102111000020 = 22561100083697541
BaseRepresentation
bin11011110000110100011100…
…111100111101010111010100
3121000022211220001111010210011
4123300310130330331113110
5112001010110404000040
61111404534015010004
734501405064650564
oct3360643474752724
9530284801433704
10122102111000020
11359a623a511708
1211840259b09904
1353192449403c8
142221ab9090da4
15e1b251d593ea
hex6f0d1cf3d5d4

122102111000020 has 24 divisors (see below), whose sum is σ = 260617948399368. Its totient is φ = 48040174819200.

The previous prime is 122102110999951. The next prime is 122102111000053. The reversal of 122102111000020 is 20000111201221.

It can be written as a sum of positive squares in 4 ways, for example, as 17269044604816 + 104833066395204 = 4155604^2 + 10238802^2 .

It is a super-2 number, since 2×1221021110000202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50041847551 + ... + 50041849990.

It is an arithmetic number, because the mean of its divisors is an integer number (10859081183307).

Almost surely, 2122102111000020 is an apocalyptic number.

122102111000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122102111000020 is an abundant number, since it is smaller than the sum of its proper divisors (138515837399348).

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

122102111000020 is a wasteful number, since it uses less digits than its factorization.

122102111000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100083697611 (or 100083697609 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 122102111000020 its reverse (20000111201221), we get a palindrome (142102222201241).

The spelling of 122102111000020 in words is "one hundred twenty-two trillion, one hundred two billion, one hundred eleven million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 100083697541 200167395082 400334790164 500418487705 1000836975410 2001673950820 6105105550001 12210211100002 24420422200004 30525527750005 61051055500010 122102111000020