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20231332002 = 23272941135043
BaseRepresentation
bin10010110101111000…
…011010000010100010
31221012221211011002200
4102311320122002202
5312413210111002
613143311354030
71314231325140
oct226570320242
957187734080
1020231332002
1186420721a2
123b07522916
131ba55b228b
14d9cd02590
157d6213b1c
hex4b5e1a0a2

20231332002 has 96 divisors (see below), whose sum is σ = 53088497280. Its totient is φ = 5444893440.

The previous prime is 20231331977. The next prime is 20231332057. The reversal of 20231332002 is 20023313202.

It is a happy number.

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

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, 82293 + ... + 217335.

It is an arithmetic number, because the mean of its divisors is an integer number (553005180).

Almost surely, 220231332002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20231332002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26544248640).

20231332002 is an abundant number, since it is smaller than the sum of its proper divisors (32857165278).

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

20231332002 is a wasteful number, since it uses less digits than its factorization.

20231332002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135128 (or 135125 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 20231332002 its reverse (20023313202), we get a palindrome (40254645204).

It can be divided in two parts, 2023 and 1332002, that added together give a square (1334025 = 11552).

The spelling of 20231332002 in words is "twenty billion, two hundred thirty-one million, three hundred thirty-two thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 29 41 42 58 63 82 87 123 126 174 203 246 261 287 369 406 522 574 609 738 861 1189 1218 1722 1827 2378 2583 3567 3654 5166 7134 8323 10701 16646 21402 24969 49938 74907 135043 149814 270086 405129 810258 945301 1215387 1890602 2430774 2835903 3916247 5536763 5671806 7832494 8507709 11073526 11748741 16610289 17015418 23497482 27413729 33220578 35246223 38757341 49830867 54827458 70492446 77514682 82241187 99661734 116272023 160566127 164482374 232544046 246723561 321132254 348816069 481698381 493447122 697632138 963396762 1123962889 1445095143 2247925778 2890190286 3371888667 6743777334 10115666001 20231332002