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10130312430 = 23257222310301
BaseRepresentation
bin10010110111101000…
…00100110011101110
3222010222222012011200
421123310010303232
5131221324444210
64353115430330
7506016143400
oct113364046356
928128865150
1010130312430
11432932a737
121b687553a6
13c559b5214
146c15a4b70
153e454e0c0
hex25bd04cee

10130312430 has 144 divisors (see below), whose sum is σ = 30779409024. Its totient is φ = 2304892800.

The previous prime is 10130312417. The next prime is 10130312443. The reversal of 10130312430 is 3421303101.

It is an interprime number because it is at equal distance from previous prime (10130312417) and next prime (10130312443).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 978280 + ... + 988580.

It is an arithmetic number, because the mean of its divisors is an integer number (213745896).

Almost surely, 210130312430 is an apocalyptic number.

10130312430 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 10130312430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15389704512).

10130312430 is an abundant number, since it is smaller than the sum of its proper divisors (20649096594).

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

10130312430 is a wasteful number, since it uses less digits than its factorization.

10130312430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10551 (or 10541 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10130312430 its reverse (3421303101), we get a palindrome (13551615531).

The spelling of 10130312430 in words is "ten billion, one hundred thirty million, three hundred twelve thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 223 245 294 315 441 446 490 630 669 735 882 1115 1338 1470 1561 2007 2205 2230 3122 3345 4014 4410 4683 6690 7805 9366 10035 10301 10927 14049 15610 20070 20602 21854 23415 28098 30903 32781 46830 51505 54635 61806 65562 70245 72107 92709 98343 103010 109270 140490 144214 154515 163905 185418 196686 216321 309030 327810 360535 432642 463545 491715 504749 648963 721070 927090 983430 1009498 1081605 1297926 1514247 2163210 2297123 2523745 3028494 3244815 4542741 4594246 5047490 6489630 6891369 7571235 9085482 11485615 13782738 15142470 16079861 20674107 22713705 22971230 32159722 34456845 41348214 45427410 48239583 68913690 80399305 96479166 103370535 112559027 144718749 160798610 206741070 225118054 241197915 289437498 337677081 482395830 562795135 675354162 723593745 1013031243 1125590270 1447187490 1688385405 2026062486 3376770810 5065156215 10130312430