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20012110320 = 24351721792251
BaseRepresentation
bin10010101000110100…
…001001000111110000
31220122200022112111010
4102220310021013300
5311441100012240
613105440550520
71305630062646
oct225064110760
956580275433
1020012110320
11853a350754
123a66022440
131b6c057bc7
14d7bb59196
157c1d5e280
hex4a8d091f0

20012110320 has 160 divisors (see below), whose sum is σ = 65746149120. Its totient is φ = 5018112000.

The previous prime is 20012110309. The next prime is 20012110361. The reversal of 20012110320 is 2301121002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20012110296 and 20012110305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8889195 + ... + 8891445.

It is an arithmetic number, because the mean of its divisors is an integer number (410913432).

Almost surely, 220012110320 is an apocalyptic number.

20012110320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20012110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32873074560).

20012110320 is an abundant number, since it is smaller than the sum of its proper divisors (45734038800).

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

20012110320 is a wasteful number, since it uses less digits than its factorization.

20012110320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4463 (or 4457 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 20012110320 its reverse (2301121002), we get a palindrome (22313231322).

The spelling of 20012110320 in words is "twenty billion, twelve million, one hundred ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 2179 2251 4080 4358 4502 6537 6753 8716 9004 10895 11255 13074 13506 17432 18008 21790 22510 26148 27012 32685 33765 34864 36016 37043 38267 43580 45020 52296 54024 65370 67530 74086 76534 87160 90040 104592 108048 111129 114801 130740 135060 148172 153068 174320 180080 185215 191335 222258 229602 261480 270120 296344 306136 370430 382670 444516 459204 522960 540240 555645 574005 592688 612272 740860 765340 889032 918408 1111290 1148010 1481720 1530680 1778064 1836816 2222580 2296020 2963440 3061360 4445160 4592040 4904929 8890320 9184080 9809858 14714787 19619716 24524645 29429574 39239432 49049290 58859148 73573935 78478864 83383793 98098580 117718296 147147870 166767586 196197160 235436592 250151379 294295740 333535172 392394320 416918965 500302758 588591480 667070344 833837930 1000605516 1177182960 1250756895 1334140688 1667675860 2001211032 2501513790 3335351720 4002422064 5003027580 6670703440 10006055160 20012110320