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20230233031320 = 23351324415312617
BaseRepresentation
bin1001001100110001101111…
…10110101000001010011000
32122121222202201112022101220
410212120313312220022120
510122423004124000240
6111005350223012040
74155405014344224
oct446306766501230
978558681468356
1020230233031320
11649a659166134
12232890813a020
13b3991a048c50
144dd2116c7784
1525137c6155d0
hex126637da8298

20230233031320 has 128 divisors (see below), whose sum is σ = 65386002306240. Its totient is φ = 4977708687360.

The previous prime is 20230233031297. The next prime is 20230233031343. The reversal of 20230233031320 is 2313033203202.

It is an interprime number because it is at equal distance from previous prime (20230233031297) and next prime (20230233031343).

It is a super-4 number, since 4×202302330313204 (a number of 54 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1151652 + ... + 6464268.

Almost surely, 220230233031320 is an apocalyptic number.

20230233031320 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 20230233031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32693001153120).

20230233031320 is an abundant number, since it is smaller than the sum of its proper divisors (45155769274920).

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

20230233031320 is a wasteful number, since it uses less digits than its factorization.

20230233031320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5315085 (or 5315081 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 20230233031320 its reverse (2313033203202), we get a palindrome (22543266234522).

The spelling of 20230233031320 in words is "twenty trillion, two hundred thirty billion, two hundred thirty-three million, thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 2441 4882 7323 9764 12205 14646 19528 24410 29292 31733 36615 48820 58584 63466 73230 95199 97640 126932 146460 158665 190398 253864 292920 317330 380796 475995 634660 761592 951990 1269320 1903980 3807960 5312617 10625234 15937851 21250468 26563085 31875702 42500936 53126170 63751404 69064021 79689255 106252340 127502808 138128042 159378510 207192063 212504680 276256084 318757020 345320105 414384126 552512168 637514040 690640210 828768252 1035960315 1381280420 1657536504 2071920630 2762560840 4143841260 8287682520 12968098097 25936196194 38904294291 51872392388 64840490485 77808588582 103744784776 129680980970 155617177164 168585275261 194521471455 259361961940 311234354328 337170550522 389042942910 505755825783 518723923880 674341101044 778085885820 842926376305 1011511651566 1348682202088 1556171771640 1685852752610 2023023303132 2528779128915 3371705505220 4046046606264 5057558257830 6743411010440 10115116515660 20230233031320