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100222101012 = 223114911546351
BaseRepresentation
bin101110101010110110…
…0111110011000010100
3100120200122120020120010
41131111230332120110
53120223324213022
6114012535240220
710145411542215
oct1352554763024
9316618506503
10100222101012
113955a843960
1217510219070
1395b2834567
144bca75740c
1529189ac50c
hex1755b3e614

100222101012 has 48 divisors (see below), whose sum is σ = 255630541824. Its totient is φ = 30308460000.

The previous prime is 100222101011. The next prime is 100222101041. The reversal of 100222101012 is 210101222001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100222101011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 708364 + ... + 837987.

It is an arithmetic number, because the mean of its divisors is an integer number (5325636288).

Almost surely, 2100222101012 is an apocalyptic number.

100222101012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100222101012 is an abundant number, since it is smaller than the sum of its proper divisors (155408440812).

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

100222101012 is a wasteful number, since it uses less digits than its factorization.

100222101012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1546860 (or 1546858 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100222101012 its reverse (210101222001), we get a palindrome (310323323013).

The spelling of 100222101012 in words is "one hundred billion, two hundred twenty-two million, one hundred one thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 491 982 1473 1964 2946 5401 5892 10802 16203 21604 32406 64812 1546351 3092702 4639053 6185404 9278106 17009861 18556212 34019722 51029583 68039444 102059166 204118332 759258341 1518516682 2277775023 3037033364 4555550046 8351841751 9111100092 16703683502 25055525253 33407367004 50111050506 100222101012