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10022020120 = 23571492291049
BaseRepresentation
bin10010101010101101…
…11110010000011000
3221212110012101001101
421111112332100120
5131011114120440
64334250401144
7503232523360
oct112526762030
927773171041
1010022020120
114283195062
121b384301b4
13c3942a228
146b10559a0
153d9cac69a
hex2555be418

10022020120 has 128 divisors (see below), whose sum is σ = 26082000000. Its totient is φ = 3394916352.

The previous prime is 10022020097. The next prime is 10022020139. The reversal of 10022020120 is 2102022001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10022020097 and 10022020106.

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, 9553356 + ... + 9554404.

It is an arithmetic number, because the mean of its divisors is an integer number (203765625).

Almost surely, 210022020120 is an apocalyptic number.

10022020120 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 10022020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13041000000).

10022020120 is an abundant number, since it is smaller than the sum of its proper divisors (16059979880).

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

10022020120 is a wasteful number, since it uses less digits than its factorization.

10022020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10022020120 its reverse (2102022001), we get a palindrome (12124042121).

The spelling of 10022020120 in words is "ten billion, twenty-two million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 149 229 280 298 458 596 745 916 1043 1049 1145 1192 1490 1603 1832 2086 2098 2290 2980 3206 4172 4196 4580 5215 5245 5960 6412 7343 8015 8344 8392 9160 10430 10490 12824 14686 16030 20860 20980 29372 32060 34121 36715 41720 41960 58744 64120 68242 73430 136484 146860 156301 170605 238847 240221 272968 293720 312602 341210 477694 480442 625204 682420 781505 955388 960884 1094107 1194235 1201105 1250408 1364840 1563010 1681547 1910776 1921768 2188214 2388470 2402210 3126020 3363094 4376428 4776940 4804420 5470535 6252040 6726188 8407735 8752856 9553880 9608840 10941070 13452376 16815470 21882140 33630940 35792929 43764280 67261880 71585858 143171716 178964645 250550503 286343432 357929290 501101006 715858580 1002202012 1252752515 1431717160 2004404024 2505505030 5011010060 10022020120