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2110100211212 = 2271723459741927
BaseRepresentation
bin11110101101001011110…
…001100000011000001100
321110201112111211002021112
4132231023301200120030
5234032441123224322
64253211110351152
7305310151600340
oct36551361403014
97421474732245
102110100211212
11743985617084
122a0b5035b4b8
13123c9b749c46
14741b50bb620
1539d4dcbc5e2
hex1eb4bc6060c

2110100211212 has 96 divisors (see below), whose sum is σ = 4663853365248. Its totient is φ = 813930568704.

The previous prime is 2110100211179. The next prime is 2110100211217. The reversal of 2110100211212 is 2121120010112.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (2110100211217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50306993 + ... + 50348919.

It is an arithmetic number, because the mean of its divisors is an integer number (48581805888).

Almost surely, 22110100211212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2110100211212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2331926682624).

2110100211212 is an abundant number, since it is smaller than the sum of its proper divisors (2553753154036).

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

2110100211212 is a wasteful number, since it uses less digits than its factorization.

2110100211212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46575 (or 46573 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2110100211212 its reverse (2121120010112), we get a palindrome (4231220221324).

The spelling of 2110100211212 in words is "two trillion, one hundred ten billion, one hundred million, two hundred eleven thousand, two hundred twelve".

Divisors: 1 2 4 7 14 17 23 28 34 46 68 92 119 161 238 322 391 476 644 782 1564 2737 4597 5474 9194 10948 18388 32179 41927 64358 78149 83854 105731 128716 156298 167708 211462 293489 312596 422924 547043 586978 712759 740117 964321 1094086 1173956 1425518 1480234 1797427 1928642 2188172 2851036 2960468 3594854 3857284 4989313 6750247 7189708 9978626 12581989 13500494 16393457 19957252 25163978 27000988 32786914 50327956 65573828 114754199 192738419 229508398 385476838 459016796 770953676 1349168933 2698337866 3276553123 4432983637 5396675732 6553106246 8865967274 13106212492 17731934548 22935871861 31030885459 45871743722 62061770918 75360721829 91743487444 124123541836 150721443658 301442887316 527525052803 1055050105606 2110100211212