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10131141120 = 29351638093
BaseRepresentation
bin10010110111101110…
…01111001000000000
3222011001112021220220
421123313033020000
5131222033003440
64353145303040
7506026164402
oct113367171000
928131467826
1010131141120
114329846301
121b68a94a80
13c55c15479
146c173cb72
153e46648d0
hex25bdcf200

10131141120 has 160 divisors (see below), whose sum is σ = 32590717632. Its totient is φ = 2684731392.

The previous prime is 10131141049. The next prime is 10131141121. The reversal of 10131141120 is 2114113101.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10131141120.

It is not an unprimeable number, because it can be changed into a prime (10131141121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1247794 + ... + 1255886.

Almost surely, 210131141120 is an apocalyptic number.

10131141120 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 10131141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16295358816).

10131141120 is an abundant number, since it is smaller than the sum of its proper divisors (22459576512).

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

10131141120 is an equidigital number, since it uses as much as digits as its factorization.

10131141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8282 (or 8266 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 10131141120 its reverse (2114113101), we get a palindrome (12245254221).

The spelling of 10131141120 in words is "ten billion, one hundred thirty-one million, one hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 163 192 240 256 320 326 384 480 489 512 640 652 768 815 960 978 1280 1304 1536 1630 1920 1956 2445 2560 2608 3260 3840 3912 4890 5216 6520 7680 7824 8093 9780 10432 13040 15648 16186 19560 20864 24279 26080 31296 32372 39120 40465 41728 48558 52160 62592 64744 78240 80930 83456 97116 104320 121395 125184 129488 156480 161860 194232 208640 242790 250368 258976 312960 323720 388464 417280 485580 517952 625920 647440 776928 971160 1035904 1251840 1294880 1319159 1553856 1942320 2071808 2589760 2638318 3107712 3884640 3957477 4143616 5179520 5276636 6215424 6595795 7769280 7914954 10359040 10553272 12430848 13191590 15538560 15829908 19787385 20718080 21106544 26383180 31077120 31659816 39574770 42213088 52766360 62154240 63319632 79149540 84426176 105532720 126639264 158299080 168852352 211065440 253278528 316598160 337704704 422130880 506557056 633196320 675409408 844261760 1013114112 1266392640 1688523520 2026228224 2532785280 3377047040 5065570560 10131141120