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10142401520130 = 23511229383350423
BaseRepresentation
bin1001001110010111011000…
…1111010110001000000010
31022220121022101210222212120
42103211312033112020002
52312133114242121010
633323204355505110
72064523110321105
oct223456617261002
938817271728776
1010142401520130
113260406278840
1211797b98b8196
13587569419039
14270c7569473c
15128c618dae70
hex939763d6202

10142401520130 has 128 divisors (see below), whose sum is σ = 26740322795520. Its totient is φ = 2441628360960.

The previous prime is 10142401520123. The next prime is 10142401520161. The reversal of 10142401520130 is 3102510424101.

It is a self number, because there is not a number n which added to its sum of digits gives 10142401520130.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28768099 + ... + 29118521.

It is an arithmetic number, because the mean of its divisors is an integer number (208908771840).

Almost surely, 210142401520130 is an apocalyptic number.

10142401520130 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 10142401520130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13370161397760).

10142401520130 is an abundant number, since it is smaller than the sum of its proper divisors (16597921275390).

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

10142401520130 is a wasteful number, since it uses less digits than its factorization.

10142401520130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351056.

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 10142401520130 its reverse (3102510424101), we get a palindrome (13244911944231).

The spelling of 10142401520130 in words is "ten trillion, one hundred forty-two billion, four hundred one million, five hundred twenty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 229 330 383 458 687 766 1145 1149 1374 1915 2290 2298 2519 3435 3830 4213 5038 5745 6870 7557 8426 11490 12595 12639 15114 21065 25190 25278 37785 42130 63195 75570 87707 126390 175414 263121 350423 438535 526242 700846 877070 964777 1051269 1315605 1752115 1929554 2102538 2631210 2894331 3504230 3854653 4823885 5256345 5788662 7709306 9647770 10512690 11563959 14471655 19273265 23127918 28943310 38546530 57819795 80246867 115639590 134212009 160493734 240740601 268424018 401234335 402636027 481481202 671060045 802468670 805272054 882715537 1203703005 1342120090 1476332099 1765431074 2013180135 2407406010 2648146611 2952664198 4026360270 4413577685 4428996297 5296293222 7381660495 8827155370 8857992594 13240733055 14763320990 22144981485 26481466110 30734550061 44289962970 61469100122 92203650183 153672750305 184407300366 307345500610 338080050671 461018250915 676160101342 922036501830 1014240152013 1690400253355 2028480304026 3380800506710 5071200760065 10142401520130