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20233011330 = 2335734730851
BaseRepresentation
bin10010110101111110…
…110100000010000010
31221020001222110201000
4102311332310002002
5312414122330310
613143411352430
71314251521140
oct226576640202
957201873630
1020233011330
118643009974
123b07bb2716
131ba5a4c76c
14d9d21c590
157d64464c0
hex4b5fb4082

20233011330 has 128 divisors (see below), whose sum is σ = 61842216960. Its totient is φ = 4611211200.

The previous prime is 20233011311. The next prime is 20233011349. The reversal of 20233011330 is 3311033202.

20233011330 is a `hidden beast` number, since 2 + 0 + 2 + 330 + 1 + 1 + 330 = 666.

It is an interprime number because it is at equal distance from previous prime (20233011311) and next prime (20233011349).

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 63 ways as a sum of consecutive naturals, for example, 640405 + ... + 671255.

It is an arithmetic number, because the mean of its divisors is an integer number (483142320).

Almost surely, 220233011330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20233011330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30921108480).

20233011330 is an abundant number, since it is smaller than the sum of its proper divisors (41609205630).

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

20233011330 is a wasteful number, since it uses less digits than its factorization.

20233011330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31221 (or 31215 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 20233011330 its reverse (3311033202), we get a palindrome (23544044532).

The spelling of 20233011330 in words is "twenty billion, two hundred thirty-three million, eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 347 378 630 694 945 1041 1735 1890 2082 2429 3123 3470 4858 5205 6246 7287 9369 10410 12145 14574 15615 18738 21861 24290 30851 31230 36435 43722 46845 61702 65583 72870 92553 93690 109305 131166 154255 185106 215957 218610 277659 308510 327915 431914 462765 555318 647871 655830 832977 925530 1079785 1295742 1388295 1665954 1943613 2159570 2776590 3239355 3887226 4164885 5830839 6478710 8329770 9718065 10705297 11661678 19436130 21410594 29154195 32115891 53526485 58308390 64231782 74937079 96347673 107052970 149874158 160579455 192695346 224811237 289043019 321158910 374685395 449622474 481738365 578086038 674433711 749370790 963476730 1124056185 1348867422 1445215095 2023301133 2248112370 2890430190 3372168555 4046602266 6744337110 10116505665 20233011330