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20101321102302 = 23211832814352863
BaseRepresentation
bin1001001001000001101000…
…00110101001001111011110
32122011200000121222210120100
410210200310012221033132
510113320001200233202
6110430230333001530
74143162322130406
oct444406406511736
978150017883510
1020101321102302
11644aa167a3920
12230792b9232a6
13b2a7147094cb
144d6ca2933806
1524cd3507d41c
hex1248341a93de

20101321102302 has 96 divisors (see below), whose sum is σ = 48255780658176. Its totient is φ = 5996502691200.

The previous prime is 20101321102297. The next prime is 20101321102321. The reversal of 20101321102302 is 20320112310102.

20101321102302 is a `hidden beast` number, since 2 + 0 + 101 + 321 + 10 + 230 + 2 = 666.

It is a super-2 number, since 2×201013211023022 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2441523 + ... + 6794385.

It is an arithmetic number, because the mean of its divisors is an integer number (502664381856).

Almost surely, 220101321102302 is an apocalyptic number.

20101321102302 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 20101321102302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24127890329088).

20101321102302 is an abundant number, since it is smaller than the sum of its proper divisors (28154459555874).

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

20101321102302 is a wasteful number, since it uses less digits than its factorization.

20101321102302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4353246 (or 4353243 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20101321102302 its reverse (20320112310102), we get a palindrome (40421433412404).

The spelling of 20101321102302 in words is "twenty trillion, one hundred one billion, three hundred twenty-one million, one hundred two thousand, three hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 83 99 166 198 249 281 498 562 747 843 913 1494 1686 1826 2529 2739 3091 5058 5478 6182 8217 9273 16434 18546 23323 27819 46646 55638 69969 139938 209907 256553 419814 513106 769659 1539318 2308977 4352863 4617954 8705726 13058589 26117178 39175767 47881493 78351534 95762986 143644479 287288958 361287629 430933437 722575258 861866874 1083862887 1223154503 2167725774 2446309006 3251588661 3669463509 3974163919 6503177322 7338927018 7948327838 11008390527 11922491757 13454699533 22016781054 23844983514 26909399066 35767475271 40364098599 71534950542 80728197198 101521823749 121092295797 203043647498 242184591594 304565471247 609130942494 913696413741 1116740061239 1827392827482 2233480122478 3350220183717 6700440367434 10050660551151 20101321102302