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230331101220 = 2232511210575349
BaseRepresentation
bin1101011010000011001…
…1011011000000100100
3211000112011121021100200
43112200303123000210
512233204230214340
6253451310510500
722432551025353
oct3264063330044
9730464537320
10230331101220
11897569a1500
1238781505430
131894918134c
14b2104b799a
155ed11a2330
hex35a0cdb024

230331101220 has 108 divisors (see below), whose sum is σ = 767960766300. Its totient is φ = 55837837440.

The previous prime is 230331101197. The next prime is 230331101237. The reversal of 230331101220 is 22101133032.

230331101220 is a `hidden beast` number, since 230 + 3 + 311 + 0 + 122 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 158493164544 + 71837936676 = 398112^2 + 268026^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 230331101193 and 230331101202.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5265895 + ... + 5309454.

Almost surely, 2230331101220 is an apocalyptic number.

230331101220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230331101220 is an abundant number, since it is smaller than the sum of its proper divisors (537629665080).

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

230331101220 is a wasteful number, since it uses less digits than its factorization.

230331101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10575386 (or 10575370 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 230331101220 its reverse (22101133032), we get a palindrome (252432234252).

The spelling of 230331101220 in words is "two hundred thirty billion, three hundred thirty-one million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 121 132 165 180 198 220 242 330 363 396 484 495 605 660 726 990 1089 1210 1452 1815 1980 2178 2420 3630 4356 5445 7260 10890 21780 10575349 21150698 31726047 42301396 52876745 63452094 95178141 105753490 116328839 126904188 158630235 190356282 211506980 232657678 317260470 348986517 380712564 465315356 475890705 581644195 634520940 697973034 951781410 1046959551 1163288390 1279617229 1395946068 1744932585 1903562820 2093919102 2326576780 2559234458 3489865170 3838851687 4187838204 5118468916 5234797755 6398086145 6979730340 7677703374 10469595510 11516555061 12796172290 15355406748 19194258435 20939191020 23033110122 25592344580 38388516870 46066220244 57582775305 76777033740 115165550610 230331101220