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10311100020 = 22325134406453
BaseRepresentation
bin10011001101001011…
…01110011001110100
3222121121011011010100
421212211232121310
5132104120200040
64423054354100
7513342622044
oct114645563164
928547134110
1010311100020
114411390071
121bb91bb930
13c842a3720
146db5c5724
15405360b30
hex26696e674

10311100020 has 72 divisors (see below), whose sum is σ = 33682934376. Its totient is φ = 2538116352.

The previous prime is 10311100003. The next prime is 10311100067. The reversal of 10311100020 is 2000111301.

It can be written as a sum of positive squares in 4 ways, for example, as 772061796 + 9539038224 = 27786^2 + 97668^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10311099975 and 10311100011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2200887 + ... + 2205566.

It is an arithmetic number, because the mean of its divisors is an integer number (467818533).

Almost surely, 210311100020 is an apocalyptic number.

10311100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10311100020 is an abundant number, since it is smaller than the sum of its proper divisors (23371834356).

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

10311100020 is a wasteful number, since it uses less digits than its factorization.

10311100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4406481 (or 4406476 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10311100020 its reverse (2000111301), we get a palindrome (12311211321).

The spelling of 10311100020 in words is "ten billion, three hundred eleven million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 4406453 8812906 13219359 17625812 22032265 26438718 39658077 44064530 52877436 57283889 66096795 79316154 88129060 114567778 132193590 158632308 171851667 198290385 229135556 264387180 286419445 343703334 396580770 515555001 572838890 687406668 793161540 859258335 1031110002 1145677780 1718516670 2062220004 2577775005 3437033340 5155550010 10311100020