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10220202120 = 23351710149603
BaseRepresentation
bin10011000010010101…
…11110100010001000
3222101021010001122110
421201022332202020
5131412332431440
64410050222320
7511160166432
oct114112764210
928337101573
1010220202120
114375046137
121b928849a0
13c6b4c8b9b
146cd4c3652
153ec3a8080
hex2612be888

10220202120 has 128 divisors (see below), whose sum is σ = 32786259840. Its totient is φ = 2539622400.

The previous prime is 10220202119. The next prime is 10220202121. The reversal of 10220202120 is 2120202201.

It is an interprime number because it is at equal distance from previous prime (10220202119) and next prime (10220202121).

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 = 10220202096 and 10220202105.

It is not an unprimeable number, because it can be changed into a prime (10220202121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181239 + ... + 230841.

It is an arithmetic number, because the mean of its divisors is an integer number (256142655).

Almost surely, 210220202120 is an apocalyptic number.

10220202120 is a gapful number since it is divisible by the number (10) 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 10220202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16393129920).

10220202120 is an abundant number, since it is smaller than the sum of its proper divisors (22566057720).

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

10220202120 is a wasteful number, since it uses less digits than its factorization.

10220202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49735 (or 49731 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10220202120 its reverse (2120202201), we get a palindrome (12340404321).

The spelling of 10220202120 in words is "ten billion, two hundred twenty million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 101 102 120 136 170 202 204 255 303 340 404 408 505 510 606 680 808 1010 1020 1212 1515 1717 2020 2040 2424 3030 3434 4040 5151 6060 6868 8585 10302 12120 13736 17170 20604 25755 34340 41208 49603 51510 68680 99206 103020 148809 198412 206040 248015 297618 396824 496030 595236 744045 843251 992060 1190472 1488090 1686502 1984120 2529753 2976180 3373004 4216255 5009903 5059506 5952360 6746008 8432510 10019806 10119012 12648765 15029709 16865020 20039612 20238024 25049515 25297530 30059418 33730040 40079224 50099030 50595060 60118836 75148545 85168351 100198060 101190120 120237672 150297090 170336702 200396120 255505053 300594180 340673404 425841755 511010106 601188360 681346808 851683510 1022020212 1277525265 1703367020 2044040424 2555050530 3406734040 5110101060 10220202120