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12100220101020 = 22357313720165017
BaseRepresentation
bin1011000000010100110101…
…0100100010000110011100
31120211202210010212201212210
42300011031110202012130
53041222222321213040
641422433034400420
72356132506554652
oct260051524420634
946752703781783
1012100220101020
113945746882077
12143512b290110
1369a0799a39cc
142db921d74dd2
1515eb4b635480
hexb014d52219c

12100220101020 has 96 divisors (see below), whose sum is σ = 34595427521088. Its totient is φ = 3159293386752.

The previous prime is 12100220101003. The next prime is 12100220101031. The reversal of 12100220101020 is 2010102200121.

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 = 12100220100987 and 12100220101005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9482449 + ... + 10682568.

It is an arithmetic number, because the mean of its divisors is an integer number (360369036678).

Almost surely, 212100220101020 is an apocalyptic number.

12100220101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12100220101020 is an abundant number, since it is smaller than the sum of its proper divisors (22495207420068).

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

12100220101020 is a wasteful number, since it uses less digits than its factorization.

12100220101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20165239 (or 20165237 counting only the distinct ones).

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

Adding to 12100220101020 its reverse (2010102200121), we get a palindrome (14110322301141).

The spelling of 12100220101020 in words is "twelve trillion, one hundred billion, two hundred twenty million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 137 146 219 274 292 365 411 438 548 685 730 822 876 1095 1370 1460 1644 2055 2190 2740 4110 4380 8220 10001 20002 30003 40004 50005 60006 100010 120012 150015 200020 300030 600060 20165017 40330034 60495051 80660068 100825085 120990102 201650170 241980204 302475255 403300340 604950510 1209901020 1472046241 2762607329 2944092482 4416138723 5525214658 5888184964 7360231205 8287821987 8832277446 11050429316 13813036645 14720462410 16575643974 17664554892 22080693615 27626073290 29440924820 33151287948 41439109935 44161387230 55252146580 82878219870 88322774460 165756439740 201670335017 403340670034 605011005051 806681340068 1008351675085 1210022010102 2016703350170 2420044020204 3025055025255 4033406700340 6050110050510 12100220101020