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31022001100 = 22521957728297
BaseRepresentation
bin11100111001000011…
…100010101111001100
32222001222100221022201
4130321003202233030
51002013113013400
622130141051244
72145516441616
oct347103425714
988058327281
1031022001100
111217a124642
126019256b24
132c0503648c
141704081db6
15c1870406a
hex7390e2bcc

31022001100 has 72 divisors (see below), whose sum is σ = 70986098960. Its totient is φ = 11734917120.

The previous prime is 31022001089. The next prime is 31022001107. The reversal of 31022001100 is 110022013.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (31022001107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1082152 + ... + 1110448.

Almost surely, 231022001100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31022001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35493049480).

31022001100 is an abundant number, since it is smaller than the sum of its proper divisors (39964097860).

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

31022001100 is a wasteful number, since it uses less digits than its factorization.

31022001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28907 (or 28900 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 31022001100 its reverse (110022013), we get a palindrome (31132023113).

The spelling of 31022001100 in words is "thirty-one billion, twenty-two million, one thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 577 950 1154 1900 2308 2885 5770 10963 11540 14425 21926 28297 28850 43852 54815 56594 57700 109630 113188 141485 219260 274075 282970 537643 548150 565940 707425 1075286 1096300 1414850 2150572 2688215 2829700 5376430 10752860 13441075 16327369 26882150 32654738 53764300 65309476 81636845 163273690 310220011 326547380 408184225 620440022 816368450 1240880044 1551100055 1632736900 3102200110 6204400220 7755500275 15511000550 31022001100