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122022001031 = 7259107433911
BaseRepresentation
bin111000110100100010…
…0111111100110000111
3102122221220220220110112
41301221010333212013
53444400113013111
6132020042543235
711546550616100
oct1615104774607
9378856826415
10122022001031
1147827269457
121b794b07b1b
13b678095898
145c97acb3a7
153292761e8b
hex1c6913f987

122022001031 has 48 divisors (see below), whose sum is σ = 146195642880. Its totient is φ = 101509873920.

The previous prime is 122022001009. The next prime is 122022001051. The reversal of 122022001031 is 130100220221.

It is a happy number.

It is not a de Polignac number, because 122022001031 - 26 = 122022000967 is a prime.

It is a super-2 number, since 2×1220220010312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122022000997 and 122022001015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122022001051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133942466 + ... + 133943376.

It is an arithmetic number, because the mean of its divisors is an integer number (3045742560).

Almost surely, 2122022001031 is an apocalyptic number.

122022001031 is a deficient number, since it is larger than the sum of its proper divisors (24173641849).

122022001031 is a wasteful number, since it uses less digits than its factorization.

122022001031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 122022001031 its reverse (130100220221), we get a palindrome (252122221252).

The spelling of 122022001031 in words is "one hundred twenty-two billion, twenty-two million, one thousand, thirty-one".

Divisors: 1 7 49 59 107 413 433 749 911 2891 3031 5243 6313 6377 21217 25547 44191 44639 46331 53749 97477 178829 309337 324317 376243 394463 682339 1251803 2270219 2633701 2733529 2761241 4776373 5751143 19134703 19328687 23273317 40258001 42207541 133942921 162913219 281806007 295452787 1140392533 2068169509 2490244919 17431714433 122022001031