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100212100211022 = 23199291690155987
BaseRepresentation
bin10110110010010001110010…
…101000101010000101001110
3111010211011221120021121210220
4112302101302220222011032
5101113333340123223042
6553044445302212210
730052041156164352
oct2662216250520516
9433734846247726
10100212100211022
1129a26793054a78
12b2a5939724066
1343bbc642b54a7
141aa6411d59462
15b8bb301ab8ec
hex5b2472a2a14e

100212100211022 has 64 divisors (see below), whose sum is σ = 211216208083200. Its totient is φ = 31609426867200.

The previous prime is 100212100210987. The next prime is 100212100211029. The reversal of 100212100211022 is 220112001212001.

It is a junction number, because it is equal to n+sod(n) for n = 100212100210992 and 100212100211010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212100211029) 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, 1789889313 + ... + 1789945299.

It is an arithmetic number, because the mean of its divisors is an integer number (3300253251300).

Almost surely, 2100212100211022 is an apocalyptic number.

100212100211022 is an abundant number, since it is smaller than the sum of its proper divisors (111004107872178).

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

100212100211022 is a wasteful number, since it uses less digits than its factorization.

100212100211022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73841.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100212100211022 its reverse (220112001212001), we get a palindrome (320324101423023).

The spelling of 100212100211022 in words is "one hundred trillion, two hundred twelve billion, one hundred million, two hundred eleven thousand, twenty-two".

Divisors: 1 2 3 6 19 38 57 114 929 1858 2787 5574 16901 17651 33802 35302 50703 52953 55987 101406 105906 111974 167961 321119 335922 642238 963357 1063753 1926714 2127506 3191259 6382518 15701029 31402058 47103087 52011923 94206174 104023846 156035769 298319551 312071538 596639102 894958653 946236287 988226537 1789917306 1892472574 1976453074 2838708861 2964679611 5677417722 5929359222 17978489453 35956978906 53935468359 107870936718 879053510623 1758107021246 2637160531869 5274321063738 16702016701837 33404033403674 50106050105511 100212100211022