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1022130021320 = 235416710390313
BaseRepresentation
bin11101101111110111011…
…00100110001111001000
310121201021222221222200022
432313323230212033020
5113221310241140240
62101320545400012
7133563222554432
oct16677354461710
93551258858608
101022130021320
11364534828511
12146119339008
1375504042c05
1437685591652
151b8c44c99b5
hexedfbb263c8

1022130021320 has 128 divisors (see below), whose sum is σ = 2414288298240. Its totient is φ = 389107445760.

The previous prime is 1022130021317. The next prime is 1022130021323. The reversal of 1022130021320 is 231200312201.

It is an interprime number because it is at equal distance from previous prime (1022130021317) and next prime (1022130021323).

It is not an unprimeable number, because it can be changed into a prime (1022130021323) 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, 11272484 + ... + 11362796.

It is an arithmetic number, because the mean of its divisors is an integer number (18861627330).

Almost surely, 21022130021320 is an apocalyptic number.

1022130021320 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 1022130021320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207144149120).

1022130021320 is an abundant number, since it is smaller than the sum of its proper divisors (1392158276920).

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

1022130021320 is a wasteful number, since it uses less digits than its factorization.

1022130021320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90535 (or 90531 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1022130021320 its reverse (231200312201), we get a palindrome (1253330333521).

The spelling of 1022130021320 in words is "one trillion, twenty-two billion, one hundred thirty million, twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 67 82 103 134 164 205 206 268 328 335 410 412 515 536 670 820 824 1030 1340 1640 2060 2680 2747 4120 4223 5494 6901 8446 10988 13735 13802 16892 21115 21976 27470 27604 33784 34505 42230 54940 55208 69010 84460 90313 109880 138020 168920 180626 276040 282941 361252 451565 565882 722504 903130 1131764 1414705 1806260 2263528 2829410 3612520 3702833 5658820 6050971 7405666 9302239 11317640 12101942 14811332 18514165 18604478 24203884 29622664 30254855 37028330 37208956 46511195 48407768 60509710 74056660 74417912 93022390 121019420 148113320 186044780 242038840 248089811 372089560 381391799 496179622 623250013 762783598 992359244 1240449055 1246500026 1525567196 1906958995 1984718488 2480898110 2493000052 3051134392 3116250065 3813917990 4961796220 4986000104 6232500130 7627835980 9923592440 12465000260 15255671960 24930000520 25553250533 51106501066 102213002132 127766252665 204426004264 255532505330 511065010660 1022130021320