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141131211311000 = 23535910513227533
BaseRepresentation
bin100000000101101110101011…
…101101111000011110011000
3200111201000022202220012000102
4200011232223231320132120
5121444243210043423000
61220054441115154532
741504251660550321
oct4005565355703630
9614630282805012
10141131211311000
1140a72457558139
12139b4211145a48
136099801805721
1426bcb03a35448
15114b2300d83d5
hex805babb78798

141131211311000 has 128 divisors (see below), whose sum is σ = 335877863630400. Its totient is φ = 55490140108800.

The previous prime is 141131211310963. The next prime is 141131211311003. The reversal of 141131211311000 is 113112131141.

141131211311000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1411312113110002 (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (141131211311003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 620153234 + ... + 620380766.

Almost surely, 2141131211311000 is an apocalyptic number.

141131211311000 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 141131211311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167938931815200).

141131211311000 is an abundant number, since it is smaller than the sum of its proper divisors (194746652319400).

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

141131211311000 is a wasteful number, since it uses less digits than its factorization.

141131211311000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238126 (or 238112 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 141131211311000 its reverse (113112131141), we get a palindrome (141244323442141).

The spelling of 141131211311000 in words is "one hundred forty-one trillion, one hundred thirty-one billion, two hundred eleven million, three hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 100 118 125 200 236 250 295 472 500 590 1000 1180 1475 2360 2950 5900 7375 10513 11800 14750 21026 29500 42052 52565 59000 84104 105130 210260 227533 262825 420520 455066 525650 620267 910132 1051300 1137665 1240534 1314125 1820264 2102600 2275330 2481068 2628250 3101335 4550660 4962136 5256500 5688325 6202670 9101320 10513000 11376650 12405340 13424447 15506675 22753300 24810680 26848894 28441625 31013350 45506600 53697788 56883250 62026700 67122235 77533375 107395576 113766500 124053400 134244470 155066750 227533000 268488940 310133500 335611175 536977880 620267000 671222350 1342444700 1678055875 2392054429 2684889400 3356111750 4784108858 6712223500 9568217716 11960272145 13424447000 19136435432 23920544290 47841088580 59801360725 95682177160 119602721450 141131211311 239205442900 282262422622 299006803625 478410885800 564524845244 598013607250 705656056555 1129049690488 1196027214500 1411312113110 2392054429000 2822624226220 3528280282775 5645248452440 7056560565550 14113121131100 17641401413875 28226242262200 35282802827750 70565605655500 141131211311000