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10033100130 = 2352943269997
BaseRepresentation
bin10010101100000010…
…01111010101100010
3221220020001021222010
421112001033111202
5131021433201010
64335324053350
7503425641534
oct112601172542
927806037863
1010033100130
114289472699
121b40094256
13c3b809551
146b26db854
153dac4a620
hex25604f562

10033100130 has 128 divisors (see below), whose sum is σ = 25609478400. Its totient is φ = 2511258624.

The previous prime is 10033100123. The next prime is 10033100131. The reversal of 10033100130 is 3100133001.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10033100131) 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, 10062792 + ... + 10063788.

It is an arithmetic number, because the mean of its divisors is an integer number (200074050).

Almost surely, 210033100130 is an apocalyptic number.

10033100130 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 10033100130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12804739200).

10033100130 is an abundant number, since it is smaller than the sum of its proper divisors (15576378270).

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

10033100130 is a wasteful number, since it uses less digits than its factorization.

10033100130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348.

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 10033100130 its reverse (3100133001), we get a palindrome (13133233131).

The spelling of 10033100130 in words is "ten billion, thirty-three million, one hundred thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 43 58 86 87 129 145 174 215 258 269 290 430 435 538 645 807 870 997 1247 1290 1345 1614 1994 2494 2690 2991 3741 4035 4985 5982 6235 7482 7801 8070 9970 11567 12470 14955 15602 18705 23134 23403 28913 29910 34701 37410 39005 42871 46806 57826 57835 69402 78010 85742 86739 115670 117015 128613 144565 173478 173505 214355 234030 257226 268193 289130 335443 347010 428710 433695 536386 643065 670886 804579 867390 1006329 1243259 1286130 1340965 1609158 1677215 2012658 2486518 2681930 3354430 3729777 4022895 5031645 6216295 7459554 7777597 8045790 10063290 11532299 12432590 15555194 18648885 23064598 23332791 34596897 37297770 38887985 46665582 57661495 69193794 77775970 115322990 116663955 172984485 233327910 334436671 345968970 668873342 1003310013 1672183355 2006620026 3344366710 5016550065 10033100130