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40222100124 = 223315110872269
BaseRepresentation
bin100101011101011011…
…001000101010011100
310211211010222101121000
4211131123020222130
51124333324200444
630251111110300
72622512132013
oct453533105234
9124733871530
1040222100124
1116070366168
127966372390
133a400a6b5b
141d37ca3a7a
1510a6259469
hex95d6c8a9c

40222100124 has 96 divisors (see below), whose sum is σ = 105112985600. Its totient is φ = 13300459200.

The previous prime is 40222100123. The next prime is 40222100183. The reversal of 40222100124 is 42100122204.

40222100124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40222100097 and 40222100106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40222100123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17725662 + ... + 17727930.

Almost surely, 240222100124 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 40222100124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52556492800).

40222100124 is an abundant number, since it is smaller than the sum of its proper divisors (64890885476).

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

40222100124 is a wasteful number, since it uses less digits than its factorization.

40222100124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3520 (or 3512 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 40222100124 its reverse (42100122204), we get a palindrome (82322222328).

The spelling of 40222100124 in words is "forty billion, two hundred twenty-two million, one hundred thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 151 302 453 604 906 1087 1359 1812 2174 2269 2718 3261 4077 4348 4538 5436 6522 6807 8154 9076 9783 13044 13614 16308 19566 20421 27228 29349 39132 40842 58698 61263 81684 117396 122526 164137 245052 328274 342619 492411 656548 685238 984822 1027857 1370476 1477233 1969644 2055714 2466403 2954466 3083571 4111428 4431699 4932806 5908932 6167142 7399209 8863398 9250713 9865612 12334284 14798418 17726796 18501426 22197627 29596836 37002852 44395254 66592881 88790508 133185762 266371524 372426853 744853706 1117280559 1489707412 2234561118 3351841677 4469122236 6703683354 10055525031 13407366708 20111050062 40222100124