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20032102002 = 23112192950077
BaseRepresentation
bin10010101010000000…
…011001111001110010
31220201001221012220210
4102222000121321302
5312011204231002
613111433244550
71306262025513
oct225200317162
956631835823
1020032102002
11854a665800
123a70863756
131b732375c3
14d80680a0a
157c39ac96c
hex4aa019e72

20032102002 has 96 divisors (see below), whose sum is σ = 47954692800. Its totient is φ = 5552426880.

The previous prime is 20032101967. The next prime is 20032102003. The reversal of 20032102002 is 20020123002.

It is a super-2 number, since 2×200321020022 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20032102003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 374988 + ... + 425064.

It is an arithmetic number, because the mean of its divisors is an integer number (499528050).

Almost surely, 220032102002 is an apocalyptic number.

20032102002 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 20032102002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23977346400).

20032102002 is an abundant number, since it is smaller than the sum of its proper divisors (27922590798).

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

20032102002 is a wasteful number, since it uses less digits than its factorization.

20032102002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50152 (or 50141 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 20032102002 its reverse (20020123002), we get a palindrome (40052225004).

The spelling of 20032102002 in words is "twenty billion, thirty-two million, one hundred two thousand, two".

Divisors: 1 2 3 6 11 19 22 29 33 38 57 58 66 87 114 121 174 209 242 319 363 418 551 627 638 726 957 1102 1254 1653 1914 2299 3306 3509 4598 6061 6897 7018 10527 12122 13794 18183 21054 36366 50077 66671 100154 133342 150231 200013 300462 400026 550847 951463 1101694 1452233 1652541 1902926 2854389 2904466 3305082 4356699 5708778 6059317 8713398 10466093 12118634 15974563 18177951 20932186 27592427 31398279 31949126 36355902 47923689 55184854 62796558 82777281 95847378 115127023 165554562 175720193 230254046 303516697 345381069 351440386 527160579 607033394 690762138 910550091 1054321158 1821100182 3338683667 6677367334 10016051001 20032102002