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101101060000 = 25545055053
BaseRepresentation
bin101111000101000010…
…1111011111110100000
3100122221220110222121201
41132022011323332200
53124023332410000
6114240054330544
710206243554653
oct1361205737640
9318856428551
10101101060000
1139970a04846
1217716659a54
1396c2971a35
144c7139789a
15296ac2e96a
hex178a17bfa0

101101060000 has 60 divisors (see below), whose sum is σ = 248723821962. Its totient is φ = 40440416000.

The previous prime is 101101059979. The next prime is 101101060031. The reversal of 101101060000 is 60101101.

It can be written as a sum of positive squares in 5 ways, for example, as 71166096 + 101029893904 = 8436^2 + 317852^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2507527 + ... + 2547526.

Almost surely, 2101101060000 is an apocalyptic number.

101101060000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101060000 is an abundant number, since it is smaller than the sum of its proper divisors (147622761962).

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

101101060000 is an frugal number, since it uses more digits than its factorization.

101101060000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5055083 (or 5055060 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 101101060000 its reverse (60101101), we get a palindrome (101161161101).

It can be divided in two parts, 101 and 101060000, that added together give a palindrome (101060101).

The spelling of 101101060000 in words is "one hundred one billion, one hundred one million, sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 20000 5055053 10110106 20220212 25275265 40440424 50550530 80880848 101101060 126376325 161761696 202202120 252752650 404404240 505505300 631881625 808808480 1011010600 1263763250 2022021200 2527526500 3159408125 4044042400 5055053000 6318816250 10110106000 12637632500 20220212000 25275265000 50550530000 101101060000