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10244200231000 = 2353157246726449
BaseRepresentation
bin1001010100010010100111…
…1010100111000001011000
31100021100001221001022120101
42111010221322213001120
52320320110224343000
633442042015305144
72105055555144451
oct225045172470130
940240057038511
1010244200231000
11329a5a4a67a4a
121195489b1b1b4
13594040786b28
14275b71574128
1512b71d9c6e6a
hex95129ea7058

10244200231000 has 128 divisors (see below), whose sum is σ = 24134803992000. Its totient is φ = 4069775923200.

The previous prime is 10244200230917. The next prime is 10244200231007. The reversal of 10244200231000 is 13200244201.

It is a super-3 number, since 3×102442002310003 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10244200231007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 387305776 + ... + 387332224.

Almost surely, 210244200231000 is an apocalyptic number.

10244200231000 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 10244200231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12067401996000).

10244200231000 is an abundant number, since it is smaller than the sum of its proper divisors (13890603761000).

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

10244200231000 is a wasteful number, since it uses less digits than its factorization.

10244200231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29094 (or 29080 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 10244200231000 its reverse (13200244201), we get a palindrome (10257400475201).

The spelling of 10244200231000 in words is "ten trillion, two hundred forty-four billion, two hundred million, two hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 157 200 250 314 500 628 785 1000 1256 1570 2467 3140 3925 4934 6280 7850 9868 12335 15700 19625 19736 24670 26449 31400 39250 49340 52898 61675 78500 98680 105796 123350 132245 157000 211592 246700 264490 308375 387319 493400 528980 616750 661225 774638 1057960 1233500 1322450 1549276 1936595 2467000 2644900 3098552 3306125 3873190 4152493 5289800 6612250 7746380 8304986 9682975 13224500 15492760 16609972 19365950 20762465 26449000 33219944 38731900 41524930 48414875 65249683 77463800 83049860 96829750 103812325 130499366 166099720 193659500 207624650 260998732 326248415 387319000 415249300 519061625 521997464 652496830 830498600 1038123250 1304993660 1631242075 2076246500 2609987320 3262484150 4152493000 6524968300 8156210375 10244200231 13049936600 16312420750 20488400462 32624841500 40976800924 51221001155 65249683000 81953601848 102442002310 204884004620 256105005775 409768009240 512210011550 1024420023100 1280525028875 2048840046200 2561050057750 5122100115500 10244200231000