Search a number
-
+
1022235421020 = 2235112279750341
BaseRepresentation
bin11101110000000011111…
…10101010100101011100
310121201120100021211212220
432320001332222211130
5113222014231433040
62101335232425340
7133565642466252
oct16700176524534
93551510254786
101022235421020
11364589277900
121461486a8250
137551cb273b8
143769558a5d2
151b8cd8992d0
hexee01faa95c

1022235421020 has 144 divisors (see below), whose sum is σ = 3147306931104. Its totient is φ = 247721126400.

The previous prime is 1022235420989. The next prime is 1022235421027. The reversal of 1022235421020 is 201245322201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022235421027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20281050 + ... + 20331390.

Almost surely, 21022235421020 is an apocalyptic number.

1022235421020 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 1022235421020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573653465552).

1022235421020 is an abundant number, since it is smaller than the sum of its proper divisors (2125071510084).

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

1022235421020 is a wasteful number, since it uses less digits than its factorization.

1022235421020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53172 (or 53159 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The spelling of 1022235421020 in words is "one trillion, twenty-two billion, two hundred thirty-five million, four hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 2420 2797 3630 5594 7260 8391 11188 13985 16782 27970 30767 33564 41955 50341 55940 61534 83910 92301 100682 123068 151023 153835 167820 184602 201364 251705 302046 307670 338437 369204 461505 503410 553751 604092 615340 676874 755115 923010 1006820 1015311 1107502 1353748 1510230 1661253 1692185 1846020 2030622 2215004 2768755 3020460 3322506 3384370 4061244 5076555 5537510 6091261 6645012 6768740 8306265 10153110 11075020 12182522 16612530 18273783 20306220 24365044 30456305 33225060 36547566 60912610 73095132 91368915 121825220 140803777 182737830 281607554 365475660 422411331 563215108 704018885 844822662 1408037770 1548841547 1689645324 2112056655 2816075540 3097683094 4224113310 4646524641 6195366188 7744207735 8448226620 9293049282 15488415470 17037257017 18586098564 23232623205 30976830940 34074514034 46465246410 51111771051 68149028068 85186285085 92930492820 102223542102 170372570170 204447084204 255558855255 340745140340 511117710510 1022235421020