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20231000010 = 23251329596257
BaseRepresentation
bin10010110101110111…
…001000111111001010
31221012221012021200200
4102311313020333022
5312413114000020
613143300313030
71314225443214
oct226567107712
957187167620
1020231000010
118641965821
123b073a2776
131ba54c7130
14d9cc575b4
157d619a590
hex4b5dc8fca

20231000010 has 96 divisors (see below), whose sum is σ = 58600236240. Its totient is φ = 4808208384.

The previous prime is 20231000003. The next prime is 20231000011. The reversal of 20231000010 is 1000013202.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3564448209 + 16666551801 = 59703^2 + 129099^2 .

It is a super-2 number, since 2×202310000102 (a number of 21 digits) contains 22 as substring.

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 = 20230999956 and 20231000001.

It is not an unprimeable number, because it can be changed into a prime (20231000011) 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, 264199 + ... + 332058.

Almost surely, 220231000010 is an apocalyptic number.

20231000010 is an abundant number, since it is smaller than the sum of its proper divisors (38369236230).

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

20231000010 is a wasteful number, since it uses less digits than its factorization.

20231000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596312 (or 596309 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 20231000010 its reverse (1000013202), we get a palindrome (21231013212).

The spelling of 20231000010 in words is "twenty billion, two hundred thirty-one million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 13 15 18 26 29 30 39 45 58 65 78 87 90 117 130 145 174 195 234 261 290 377 390 435 522 585 754 870 1131 1170 1305 1885 2262 2610 3393 3770 5655 6786 11310 16965 33930 596257 1192514 1788771 2981285 3577542 5366313 5962570 7751341 8943855 10732626 15502682 17291453 17887710 23254023 26831565 34582906 38756705 46508046 51874359 53663130 69762069 77513410 86457265 103748718 116270115 139524138 155623077 172914530 224788889 232540230 259371795 311246154 348810345 449577778 518743590 674366667 697620690 778115385 1123944445 1348733334 1556230770 2023100001 2247888890 3371833335 4046200002 6743666670 10115500005 20231000010