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101330111231120 = 24531136133001463
BaseRepresentation
bin10111000010100011000001…
…010010001111010010010000
3111021210001201200021000022002
4113002203001102033102100
5101240143031433343440
6555302224354333132
730225600422102522
oct2702430122172220
9437701650230262
10101330111231120
112a31794a134a42
12b44655528a1a8
13447050867bcb5
141b045914bba12
15baac66e91115
hex5c28c148f490

101330111231120 has 80 divisors (see below), whose sum is σ = 243210212692992. Its totient is φ = 39221664714240.

The previous prime is 101330111231093. The next prime is 101330111231161. The reversal of 101330111231120 is 21132111033101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1013301112311202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 101330111231092 and 101330111231101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32259509 + ... + 35260971.

Almost surely, 2101330111231120 is an apocalyptic number.

101330111231120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101330111231120 is an abundant number, since it is smaller than the sum of its proper divisors (141880101461872).

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

101330111231120 is a wasteful number, since it uses less digits than its factorization.

101330111231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3015120 (or 3015114 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 101330111231120 its reverse (21132111033101), we get a palindrome (122462222264221).

The spelling of 101330111231120 in words is "one hundred one trillion, three hundred thirty billion, one hundred eleven million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 13613 27226 54452 68065 108904 136130 217808 272260 422003 544520 844006 1089040 1688012 2110015 3001463 3376024 4220030 6002926 6752048 8440060 12005852 15007315 16880120 24011704 30014630 33760240 48023408 60029260 93045353 120058520 186090706 240117040 372181412 465226765 744362824 930453530 1488725648 1860907060 3721814120 7443628240 40858915819 81717831638 163435663276 204294579095 326871326552 408589158190 653742653104 817178316380 1266626390389 1634356632760 2533252780778 3268713265520 5066505561556 6333131951945 10133011123112 12666263903890 20266022246224 25332527807780 50665055615560 101330111231120