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10123331130 = 23351116012129
BaseRepresentation
bin10010110110110010…
…11100011000111010
3222010111211111122000
421123121130120322
5131213033044010
64352310041430
7505602615633
oct113331343072
928114744560
1010123331130
1143253a1570
121b66349276
13c5440c683
146c06a888a
153e3b207c0
hex25b65c63a

10123331130 has 128 divisors (see below), whose sum is σ = 29481926400. Its totient is φ = 2451456000.

The previous prime is 10123331123. The next prime is 10123331131. The reversal of 10123331130 is 3113332101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10123331131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4753906 + ... + 4756034.

It is an arithmetic number, because the mean of its divisors is an integer number (230327550).

Almost surely, 210123331130 is an apocalyptic number.

10123331130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10123331130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14740963200).

10123331130 is an abundant number, since it is smaller than the sum of its proper divisors (19358595270).

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

10123331130 is a wasteful number, since it uses less digits than its factorization.

10123331130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3757 (or 3751 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10123331130 its reverse (3113332101), we get a palindrome (13236663231).

The spelling of 10123331130 in words is "ten billion, one hundred twenty-three million, three hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 1601 2129 2970 3202 4258 4803 6387 8005 9606 10645 12774 14409 16010 17611 19161 21290 23419 24015 28818 31935 35222 38322 43227 46838 48030 52833 57483 63870 70257 72045 86454 88055 95805 105666 114966 117095 140514 144090 158499 176110 191610 210771 216135 234190 264165 287415 316998 351285 421542 432270 475497 528330 574830 632313 702570 792495 950994 1053855 1264626 1584990 2107710 2377485 3161565 3408529 4754970 6323130 6817058 10225587 17042645 20451174 30676761 34085290 37493819 51127935 61353522 74987638 92030283 102255870 112481457 153383805 184060566 187469095 224962914 306767610 337444371 374938190 460151415 562407285 674888742 920302830 1012333113 1124814570 1687221855 2024666226 3374443710 5061665565 10123331130