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23311231020 = 223257111681907
BaseRepresentation
bin10101101101011101…
…010010100000101100
32020011121012020021200
4111231131102200230
5340220133343040
614413052325500
71453450123440
oct255535224054
966147166250
1023311231020
119982644990
124626a73890
1322766bcc2c
1411b1d86820
159167db630
hex56d75282c

23311231020 has 144 divisors (see below), whose sum is σ = 88158889728. Its totient is φ = 4843889280.

The previous prime is 23311231001. The next prime is 23311231087. The reversal of 23311231020 is 2013211332.

23311231020 is a `hidden beast` number, since 2 + 331 + 1 + 2 + 310 + 20 = 666.

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 = 23311230984 and 23311231002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 827094 + ... + 854813.

It is an arithmetic number, because the mean of its divisors is an integer number (612214512).

Almost surely, 223311231020 is an apocalyptic number.

23311231020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23311231020 is an abundant number, since it is smaller than the sum of its proper divisors (64847658708).

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

23311231020 is a wasteful number, since it uses less digits than its factorization.

23311231020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681940 (or 1681935 counting only the distinct ones).

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

Adding to 23311231020 its reverse (2013211332), we get a palindrome (25324442352).

The spelling of 23311231020 in words is "twenty-three billion, three hundred eleven million, two hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1540 1980 2310 2772 3465 4620 6930 13860 1681907 3363814 5045721 6727628 8409535 10091442 11773349 15137163 16819070 18500977 20182884 23546698 25228605 30274326 33638140 35320047 37001954 47093396 50457210 55502931 58866745 60548652 70640094 74003908 75685815 92504885 100914420 105960141 111005862 117733490 129506839 141280188 151371630 166508793 176600235 185009770 211920282 222011724 235466980 259013678 277514655 302743260 333017586 353200470 370019540 388520517 423840564 518027356 529800705 555029310 647534195 666035172 706400940 777041034 832543965 1059601410 1110058620 1165561551 1295068390 1554082068 1665087930 1942602585 2119202820 2331123102 2590136780 3330175860 3885205170 4662246204 5827807755 7770410340 11655615510 23311231020