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101210222210022 = 232231189012056073
BaseRepresentation
bin10111000000110011010111…
…010101111010101111100110
3111021100121021101220201020100
4113000303113111322233212
5101231212013341210042
6555131200104444530
730214124441200002
oct2700632725725746
9437317241821210
10101210222210022
112a28101798aa22
12b427276779746
134462110480723
141adc85abc3702
15ba7a9bb0d24c
hex5c0cd757abe6

101210222210022 has 48 divisors (see below), whose sum is σ = 228825146860128. Its totient is φ = 32269638825600.

The previous prime is 101210222210011. The next prime is 101210222210023. The reversal of 101210222210022 is 220012222012101.

It is a happy number.

101210222210022 is a `hidden beast` number, since 1 + 0 + 1 + 210 + 222 + 210 + 0 + 22 = 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 = 101210222209977 and 101210222210004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101210222210023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48196978 + ... + 50253050.

It is an arithmetic number, because the mean of its divisors is an integer number (4767190559586).

Almost surely, 2101210222210022 is an apocalyptic number.

101210222210022 is an abundant number, since it is smaller than the sum of its proper divisors (127614924650106).

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

101210222210022 is a wasteful number, since it uses less digits than its factorization.

101210222210022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2175005 (or 2175002 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101210222210022 its reverse (220012222012101), we get a palindrome (321222444222123).

The spelling of 101210222210022 in words is "one hundred one trillion, two hundred ten billion, two hundred twenty-two million, two hundred ten thousand, twenty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 118901 237802 356703 713406 1070109 2056073 2140218 2734723 4112146 5469446 6168219 8204169 12336438 16408338 18504657 24612507 37009314 47289679 49225014 94579358 141869037 283738074 425607111 851214222 244469135773 488938271546 733407407319 1466814814638 2200222221957 4400444443914 5622790122779 11245580245558 16868370368337 33736740736674 50605111105011 101210222210022