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210022010100120 = 23357975672194403
BaseRepresentation
bin101111110000001110001111…
…010011101001100110011000
31000112121220111222202020122010
4233300032033103221212120
5210012000034041200440
62022402440211225520
762144406124515201
oct5760161723514630
91015556458666563
10210022010100120
1160a1291a491359
121b67b80a2a82a0
139025cb539468a
1439c1195da25a8
15194324b458580
hexbf038f4e9998

210022010100120 has 64 divisors (see below), whose sum is σ = 630067107409920. Its totient is φ = 56005773617024.

The previous prime is 210022010100059. The next prime is 210022010100163. The reversal of 210022010100120 is 21001010220012.

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

It is a junction number, because it is equal to n+sod(n) for n = 210022010100096 and 210022010100105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94610839 + ... + 96805241.

It is an arithmetic number, because the mean of its divisors is an integer number (9844798553280).

Almost surely, 2210022010100120 is an apocalyptic number.

210022010100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210022010100120 is an abundant number, since it is smaller than the sum of its proper divisors (420045097309800).

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

210022010100120 is a wasteful number, since it uses less digits than its factorization.

210022010100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2991984 (or 2991980 counting only the distinct ones).

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

Adding to 210022010100120 its reverse (21001010220012), we get a palindrome (231023020320132).

The spelling of 210022010100120 in words is "two hundred ten trillion, twenty-two billion, ten million, one hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 797567 1595134 2194403 2392701 3190268 3987835 4388806 4785402 6380536 6583209 7975670 8777612 9570804 10972015 11963505 13166418 15951340 17555224 19141608 21944030 23927010 26332836 31902680 32916045 43888060 47854020 52665672 65832090 87776120 95708040 131664180 263328360 1750183417501 3500366835002 5250550252503 7000733670004 8750917087505 10501100505006 14001467340008 17501834175010 21002201010012 26252751262515 35003668350020 42004402020024 52505502525030 70007336700040 105011005050060 210022010100120