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20122122330 = 23351913928219
BaseRepresentation
bin10010101111010111…
…110011100001011010
31220221100022201121000
4102233113303201122
5312202230403310
613124410525430
71311434134452
oct225727634132
956840281530
1020122122330
118596460372
123a96a36876
131b88a9587b
14d8c5d4d62
157cb8404c0
hex4af5f385a

20122122330 has 128 divisors (see below), whose sum is σ = 56891520000. Its totient is φ = 5046732864.

The previous prime is 20122122329. The next prime is 20122122331. The reversal of 20122122330 is 3322122102.

It is an interprime number because it is at equal distance from previous prime (20122122329) and next prime (20122122331).

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

It is not an unprimeable number, because it can be changed into a prime (20122122331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 698961 + ... + 727179.

It is an arithmetic number, because the mean of its divisors is an integer number (444465000).

Almost surely, 220122122330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20122122330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28445760000).

20122122330 is an abundant number, since it is smaller than the sum of its proper divisors (36769397670).

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

20122122330 is a wasteful number, since it uses less digits than its factorization.

20122122330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28393 (or 28387 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20122122330 its reverse (3322122102), we get a palindrome (23444244432).

The spelling of 20122122330 in words is "twenty billion, one hundred twenty-two million, one hundred twenty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 139 171 190 270 278 285 342 417 513 570 695 834 855 1026 1251 1390 1710 2085 2502 2565 2641 3753 4170 5130 5282 6255 7506 7923 12510 13205 15846 18765 23769 26410 28219 37530 39615 47538 56438 71307 79230 84657 118845 141095 142614 169314 237690 253971 282190 356535 423285 507942 536161 713070 761913 846570 1072322 1269855 1523826 1608483 2539710 2680805 3216966 3809565 3922441 4825449 5361610 7619130 7844882 8042415 9650898 11767323 14476347 16084830 19612205 23534646 24127245 28952694 35301969 39224410 48254490 58836615 70603938 72381735 74526379 105905907 117673230 144763470 149052758 176509845 211811814 223579137 353019690 372631895 447158274 529529535 670737411 745263790 1059059070 1117895685 1341474822 2012212233 2235791370 3353687055 4024424466 6707374110 10061061165 20122122330