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100210022101002 = 231131121407228061
BaseRepresentation
bin10110110010001111110110…
…110001010011000000001010
3111010210222120201221200210010
4112302033312301103000022
5101113320111124213002
6553043503145132350
730051635523430512
oct2662176661230012
9433728521850703
10100210022101002
1129a25917008180
12b2a545978a0b6
1343bb9c28c00a8
141aa6295d6a842
15b8ba5ca1a46c
hex5b23f6c5300a

100210022101002 has 64 divisors (see below), whose sum is σ = 219354279026688. Its totient is φ = 30267484632000.

The previous prime is 100210022100989. The next prime is 100210022101003. The reversal of 100210022101002 is 200101220012001.

100210022101002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (100210022101003) 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, 439286052 + ... + 439514112.

It is an arithmetic number, because the mean of its divisors is an integer number (3427410609792).

Almost surely, 2100210022101002 is an apocalyptic number.

100210022101002 is an abundant number, since it is smaller than the sum of its proper divisors (119144256925686).

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

100210022101002 is a wasteful number, since it uses less digits than its factorization.

100210022101002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249795.

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

Adding to 100210022101002 its reverse (200101220012001), we get a palindrome (300311242113003).

The spelling of 100210022101002 in words is "one hundred trillion, two hundred ten billion, twenty-two million, one hundred one thousand, two".

Divisors: 1 2 3 6 11 22 33 66 311 622 933 1866 3421 6842 10263 20526 21407 42814 64221 128442 228061 235477 456122 470954 684183 706431 1368366 1412862 2508671 5017342 6657577 7526013 13315154 15052026 19972731 39945462 70926971 73233347 141853942 146466694 212780913 219700041 425561826 439400082 780196681 1560393362 2340590043 4681180086 4882101827 9764203654 14646305481 29292610962 53703120097 107406240194 161109360291 322218720582 1518333668197 3036667336394 4555001004591 9110002009182 16701670350167 33403340700334 50105011050501 100210022101002