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10401323020 = 22511239337587
BaseRepresentation
bin10011010111111011…
…11001100000001100
3222211212220221210221
421223331321200030
5132300214314040
64440040241124
7515516533624
oct115375714014
928755827727
1010401323020
114458303a30
1220234701a4
13c99ba300a
1470958d884
1540d23374a
hex26bf7980c

10401323020 has 96 divisors (see below), whose sum is σ = 24040074240. Its totient is φ = 3748899840.

The previous prime is 10401323011. The next prime is 10401323029. The reversal of 10401323020 is 2032310401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10401323011) and next prime (10401323029).

It is a junction number, because it is equal to n+sod(n) for n = 10401322985 and 10401323003.

It is not an unprimeable number, because it can be changed into a prime (10401323029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17719167 + ... + 17719753.

It is an arithmetic number, because the mean of its divisors is an integer number (250417440).

Almost surely, 210401323020 is an apocalyptic number.

10401323020 is a gapful number since it is divisible by the number (10) 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 10401323020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12020037120).

10401323020 is an abundant number, since it is smaller than the sum of its proper divisors (13638751220).

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

10401323020 is a wasteful number, since it uses less digits than its factorization.

10401323020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10401323020 its reverse (2032310401), we get a palindrome (12433633421).

The spelling of 10401323020 in words is "ten billion, four hundred one million, three hundred twenty-three thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 239 337 478 587 674 956 1174 1195 1348 1685 2348 2390 2629 2935 3370 3707 4780 5258 5870 6457 6740 7414 10516 11740 12914 13145 14828 18535 25828 26290 32285 37070 52580 64570 74140 80543 129140 140293 161086 197819 280586 322172 395638 402715 561172 701465 791276 805430 885973 989095 1402930 1543223 1610860 1771946 1978190 2176009 2805860 3086446 3543892 3956380 4352018 4429865 6172892 7716115 8704036 8859730 10880045 15432230 17719460 21760090 30864460 43520180 47278741 94557482 189114964 236393705 472787410 520066151 945574820 1040132302 2080264604 2600330755 5200661510 10401323020