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2100122022222 = 2327307206326317
BaseRepresentation
bin11110100011111001000…
…001101111000101001110
321102202210010002120020100
4132203321001233011032
5233402022214202342
64244441023231530
7304504660436340
oct36437101570516
97382703076210
102100122022222
1173a725149aa4
1229b0267485a6
1312306b4282c3
1473909bd5290
1539967cbbe4c
hex1e8f906f14e

2100122022222 has 96 divisors (see below), whose sum is σ = 5219968545792. Its totient is φ = 597767729472.

The previous prime is 2100122022217. The next prime is 2100122022223. The reversal of 2100122022222 is 2222202210012.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2100122022195 and 2100122022204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100122022223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79787808 + ... + 79814124.

It is an arithmetic number, because the mean of its divisors is an integer number (54374672352).

Almost surely, 22100122022222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100122022222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2609984272896).

2100122022222 is an abundant number, since it is smaller than the sum of its proper divisors (3119846523570).

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

2100122022222 is a wasteful number, since it uses less digits than its factorization.

2100122022222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28702 (or 28699 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2100122022222 its reverse (2222202210012), we get a palindrome (4322324232234).

The spelling of 2100122022222 in words is "two trillion, one hundred billion, one hundred twenty-two million, twenty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 307 614 921 1842 2063 2149 2763 4126 4298 5526 6189 6447 12378 12894 14441 18567 19341 26317 28882 37134 38682 43323 52634 78951 86646 129969 157902 184219 236853 259938 368438 473706 552657 633341 1105314 1266682 1657971 1900023 3315942 3800046 4433387 5700069 8079319 8866774 11400138 13300161 16158638 24237957 26600322 39900483 48475914 54291971 56555233 72713871 79800966 108583942 113110466 145427742 162875913 169665699 325751826 339331398 380043797 488627739 508997097 760087594 977255478 1017994194 1140131391 2280262782 3420394173 6840788346 16667635097 33335270194 50002905291 100005810582 116673445679 150008715873 233346891358 300017431746 350020337037 700040674074 1050061011111 2100122022222