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10123331020 = 22511172993337
BaseRepresentation
bin10010110110110010…
…11100010111001100
3222010111211111110221
421123121130113030
5131213033043040
64352310041124
7505602615415
oct113331342714
928114744427
1010123331020
1143253a1480
121b663491a4
13c5440c5ca
146c06a880c
153e3b2074a
hex25b65c5cc

10123331020 has 96 divisors (see below), whose sum is σ = 25402870080. Its totient is φ = 3345162240.

The previous prime is 10123331011. The next prime is 10123331027. The reversal of 10123331020 is 2013332101.

It is a junction number, because it is equal to n+sod(n) for n = 10123330985 and 10123331003.

It is not an unprimeable number, because it can be changed into a prime (10123331027) 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, 61792 + ... + 155128.

It is an arithmetic number, because the mean of its divisors is an integer number (264613230).

Almost surely, 210123331020 is an apocalyptic number.

10123331020 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 10123331020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12701435040).

10123331020 is an abundant number, since it is smaller than the sum of its proper divisors (15279539060).

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

10123331020 is a wasteful number, since it uses less digits than its factorization.

10123331020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93403 (or 93401 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10123331020 its reverse (2013332101), we get a palindrome (12136663121).

It can be divided in two parts, 10123 and 331020, that added together give a palindrome (341143).

The spelling of 10123331020 in words is "ten billion, one hundred twenty-three million, three hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 17 20 22 29 34 44 55 58 68 85 110 116 145 170 187 220 290 319 340 374 493 580 638 748 935 986 1276 1595 1870 1972 2465 3190 3740 4930 5423 6380 9860 10846 21692 27115 54230 93337 108460 186674 373348 466685 933370 1026707 1586729 1866740 2053414 2706773 3173458 4106828 5133535 5413546 6346916 7933645 10267070 10827092 13533865 15867290 17454019 20534140 27067730 29774503 31734580 34908038 46015141 54135460 59549006 69816076 87270095 92030282 119098012 148872515 174540190 184060564 230075705 297745030 349080380 460151410 506166551 595490060 920302820 1012333102 2024666204 2530832755 5061665510 10123331020