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2122203131020 = 22574101343627
BaseRepresentation
bin11110111000011101001…
…010011110110010001100
321111212202222121010001201
4132320131022132302030
5234232233000143040
64302532054115244
7306216112660000
oct36703512366214
97455688533051
102122203131020
11749026383945
122a336964bb24
1312517a00825b
1474a0264a700
153a30b5bca9a
hex1ee1d29ec8c

2122203131020 has 120 divisors (see below), whose sum is σ = 5204339968464. Its totient is φ = 726877565568.

The previous prime is 2122203130973. The next prime is 2122203131039. The reversal of 2122203131020 is 201313022212.

It is a super-2 number, since 2×21222031310202 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 48622447 + ... + 48666073.

Almost surely, 22122203131020 is an apocalyptic number.

2122203131020 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 2122203131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2602169984232).

2122203131020 is an abundant number, since it is smaller than the sum of its proper divisors (3082136837444).

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

2122203131020 is a wasteful number, since it uses less digits than its factorization.

2122203131020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44677 (or 44654 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 2122203131020 its reverse (201313022212), we get a palindrome (2323516153232).

The spelling of 2122203131020 in words is "two trillion, one hundred twenty-two billion, two hundred three million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1013 1372 1715 2026 2401 3430 4052 4802 5065 6860 7091 9604 10130 12005 14182 20260 24010 28364 35455 43627 48020 49637 70910 87254 99274 141820 174508 198548 218135 248185 305389 347459 436270 496370 610778 694918 872540 992740 1221556 1389836 1526945 1737295 2137723 2432213 3053890 3474590 4275446 4864426 6107780 6949180 8550892 9728852 10688615 12161065 14964061 21377230 24322130 29928122 42754460 44194151 48644260 59856244 74820305 88388302 104748427 149640610 176776604 209496854 220970755 299281220 309359057 418993708 441941510 523742135 618718114 883883020 1047484270 1237436228 1546795285 2094968540 2165513399 3093590570 4331026798 6187181140 8662053596 10827566995 15158593793 21655133990 30317187586 43310267980 60634375172 75792968965 106110156551 151585937930 212220313102 303171875860 424440626204 530550782755 1061101565510 2122203131020