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2101022310222 = 2321123387751929
BaseRepresentation
bin11110100100101110101…
…100000011111101001110
321102212002212010221012100
4132210232230003331032
5233410343202411342
64245110223415530
7304536201654603
oct36445654037516
97385085127170
102101022310222
11740047358770
1229b2381545a6
13123182ac2ab4
14739935c86aa
15399bbd53e4c
hex1e92eb03f4e

2101022310222 has 96 divisors (see below), whose sum is σ = 4993149264480. Its totient is φ = 633205877760.

The previous prime is 2101022310221. The next prime is 2101022310239. The reversal of 2101022310222 is 2220132201012.

2101022310222 is a `hidden beast` number, since 210 + 1 + 0 + 2 + 231 + 0 + 222 = 666.

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 = 2101022310195 and 2101022310204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101022310221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40433554 + ... + 40485482.

It is an arithmetic number, because the mean of its divisors is an integer number (52011971505).

Almost surely, 22101022310222 is an apocalyptic number.

2101022310222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101022310222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496574632240).

2101022310222 is an abundant number, since it is smaller than the sum of its proper divisors (2892126954258).

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

2101022310222 is a wasteful number, since it uses less digits than its factorization.

2101022310222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53058 (or 53055 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2101022310222 its reverse (2220132201012), we get a palindrome (4321154511234).

The spelling of 2101022310222 in words is "two trillion, one hundred one billion, twenty-two million, three hundred ten thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 233 466 699 877 1398 1754 2097 2563 2631 4194 5126 5262 7689 7893 9647 15378 15786 19294 23067 28941 46134 51929 57882 86823 103858 155787 173646 204341 311574 408682 467361 571219 613023 934722 1142438 1226046 1713657 1839069 2247751 3427314 3678138 4495502 5140971 6743253 10281942 12099457 13486506 20229759 24198914 36298371 40459518 45541733 72596742 91083466 108895113 133094027 136625199 217790226 266188054 273250398 399282081 409875597 500959063 798564162 819751194 1001918126 1197846243 1502877189 2395692486 3005754378 4508631567 9017263134 10611223789 21222447578 31833671367 63667342734 95501014101 116723461679 191002028202 233446923358 350170385037 700340770074 1050511155111 2101022310222