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1002122000022 = 23111319114814129
BaseRepresentation
bin11101001010100110010…
…00000011011010010110
310112210122121100012021110
432211103020003122112
5112404321213000042
62044211332155450
7132254342312013
oct16452310033226
93483577305243
101002122000022
11356aa781aa20
12142274768b86
1373665aba260
14367081bc70a
151b102bc709c
hexe953203696

1002122000022 has 128 divisors (see below), whose sum is σ = 2369136107520. Its totient is φ = 278590464000.

The previous prime is 1002122000003. The next prime is 1002122000027. The reversal of 1002122000022 is 2200002212001.

It is a junction number, because it is equal to n+sod(n) for n = 1002121999971 and 1002122000007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002122000027) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 242701254 + ... + 242705382.

It is an arithmetic number, because the mean of its divisors is an integer number (18508875840).

Almost surely, 21002122000022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002122000022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184568053760).

1002122000022 is an abundant number, since it is smaller than the sum of its proper divisors (1367014107498).

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

1002122000022 is a wasteful number, since it uses less digits than its factorization.

1002122000022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5830.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1002122000022 its reverse (2200002212001), we get a palindrome (3202124212023).

The spelling of 1002122000022 in words is "one trillion, two billion, one hundred twenty-two million, twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 191 286 382 429 573 858 1146 1481 2101 2483 2962 4129 4202 4443 4966 6303 7449 8258 8886 12387 12606 14898 16291 19253 24774 27313 32582 38506 45419 48873 53677 54626 57759 81939 90838 97746 107354 115518 136257 161031 163878 211783 272514 282871 322062 423566 565742 590447 635349 788639 848613 1180894 1270698 1577278 1697226 1771341 2365917 3111581 3542682 3677323 4731834 6115049 6223162 7354646 8675029 9334743 10252307 11031969 12230098 17350058 18345147 18669486 20504614 22063938 26025087 30756921 36690294 40450553 52050174 61513842 67265539 79495637 80901106 112775377 121351659 134531078 158991274 201796617 225550754 238486911 242703318 338326131 403593234 476973822 676652262 874452007 1167974359 1748904014 2335948718 2623356021 3503923077 5246712042 7007846154 12847717949 15183666667 25695435898 30367333334 38543153847 45551000001 77086307694 91102000002 167020333337 334040666674 501061000011 1002122000022