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141234013100 = 225253155317159
BaseRepresentation
bin1000001110001000110…
…1000000001110101100
3111111112211201020111002
42003202031000032230
54303221401404400
6144514303015432
713126624206065
oct2034215001654
9444484636432
10141234013100
1154995a11484
1223456b9a578
131041a434c6b
146b9b49356c
153a19229ed5
hex20e23403ac

141234013100 has 72 divisors (see below), whose sum is σ = 312479687520. Its totient is φ = 55388769280.

The previous prime is 141234013031. The next prime is 141234013103. The reversal of 141234013100 is 1310432141.

It is a super-2 number, since 2×1412340131002 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (141234013103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8222321 + ... + 8239479.

It is an arithmetic number, because the mean of its divisors is an integer number (4339995660).

Almost surely, 2141234013100 is an apocalyptic number.

141234013100 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 141234013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156239843760).

141234013100 is an abundant number, since it is smaller than the sum of its proper divisors (171245674420).

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

141234013100 is a wasteful number, since it uses less digits than its factorization.

141234013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18779 (or 18772 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 141234013100 its reverse (1310432141), we get a palindrome (142544445241).

The spelling of 141234013100 in words is "one hundred forty-one billion, two hundred thirty-four million, thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 1553 2650 3106 5300 6212 7765 15530 17159 31060 34318 38825 68636 77650 82309 85795 155300 164618 171590 329236 343180 411545 428975 823090 857950 909427 1646180 1715900 1818854 2057725 3637708 4115450 4547135 8230900 9094270 18188540 22735675 26647927 45471350 53295854 90942700 106591708 133239635 266479270 532958540 666198175 1332396350 1412340131 2664792700 2824680262 5649360524 7061700655 14123401310 28246802620 35308503275 70617006550 141234013100