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100221000012 = 223273710748713
BaseRepresentation
bin101110101010110100…
…0110001100101001100
3100120200120111022021100
41131111220301211030
53120223034000022
6114012455503100
710145366305260
oct1352550614514
9316616438240
10100221000012
113955a161741
121750b987a90
1395b253a393
144bca54c0a0
1529188411ac
hex1755a3194c

100221000012 has 72 divisors (see below), whose sum is σ = 297352424096. Its totient is φ = 27860661504.

The previous prime is 100221000001. The next prime is 100221000013. The reversal of 100221000012 is 210000122001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100220999958 and 100221000003.

It is not an unprimeable number, because it can be changed into a prime (100221000013) 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, 5365033 + ... + 5383680.

Almost surely, 2100221000012 is an apocalyptic number.

100221000012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100221000012 is an abundant number, since it is smaller than the sum of its proper divisors (197131424084).

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

100221000012 is a wasteful number, since it uses less digits than its factorization.

100221000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10748767 (or 10748762 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100221000012 its reverse (210000122001), we get a palindrome (310221122013).

The spelling of 100221000012 in words is "one hundred billion, two hundred twenty-one million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 111 126 148 222 252 259 333 444 518 666 777 1036 1332 1554 2331 3108 4662 9324 10748713 21497426 32246139 42994852 64492278 75240991 96738417 128984556 150481982 193476834 225722973 300963964 386953668 397702381 451445946 677168919 795404762 902891892 1193107143 1354337838 1590809524 2386214286 2708675676 2783916667 3579321429 4772428572 5567833334 7158642858 8351750001 11135666668 14317285716 16703500002 25055250003 33407000004 50110500006 100221000012