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20322331120 = 2457132214733
BaseRepresentation
bin10010111011010011…
…100010100111110000
31221110022001101102101
4102323103202213300
5313110004043440
613200322030144
71316414651530
oct227323424760
957408041371
1020322331120
118689476183
123b31aa8354
131bbb3c3c00
14dab02d4c0
157de1db69a
hex4bb4e29f0

20322331120 has 120 divisors (see below), whose sum is σ = 58472927136. Its totient is φ = 6431652864.

The previous prime is 20322331069. The next prime is 20322331121. The reversal of 20322331120 is 2113322302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20322331121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12727 + ... + 202006.

Almost surely, 220322331120 is an apocalyptic number.

20322331120 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 20322331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29236463568).

20322331120 is an abundant number, since it is smaller than the sum of its proper divisors (38150596016).

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

20322331120 is a wasteful number, since it uses less digits than its factorization.

20322331120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214779 (or 214760 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 20322331120 its reverse (2113322302), we get a palindrome (22435653422).

The spelling of 20322331120 in words is "twenty billion, three hundred twenty-two million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 169 182 208 260 280 338 364 455 520 560 676 728 845 910 1040 1183 1352 1456 1690 1820 2366 2704 3380 3640 4732 5915 6760 7280 9464 11830 13520 18928 23660 47320 94640 214733 429466 858932 1073665 1503131 1717864 2147330 2791529 3006262 3435728 4294660 5583058 6012524 7515655 8589320 11166116 12025048 13957645 15031310 17178640 19540703 22332232 24050096 27915290 30062620 36289877 39081406 44664464 55830580 60125240 72579754 78162812 97703515 111661160 120250480 145159508 156325624 181449385 195407030 223322320 254029139 290319016 312651248 362898770 390814060 508058278 580638032 725797540 781628120 1016116556 1270145695 1451595080 1563256240 2032233112 2540291390 2903190160 4064466224 5080582780 10161165560 20322331120