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101235346640 = 2455323876261
BaseRepresentation
bin101111001001000011…
…0001100110011010000
3100200022021011110020222
41132102012030303100
53124312222043030
6114301252452212
710212464151131
oct1362206146320
9320267143228
10101235346640
1139a2a79433a
121775361a068
13971472b69c
144c85151c88
1529779083e5
hex179218ccd0

101235346640 has 40 divisors (see below), whose sum is σ = 239813175528. Its totient is φ = 39730096640.

The previous prime is 101235346621. The next prime is 101235346643. The reversal of 101235346640 is 46643532101.

It can be written as a sum of positive squares in 4 ways, for example, as 4603893904 + 96631452736 = 67852^2 + 310856^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 101235346640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101235346643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11933891 + ... + 11942370.

Almost surely, 2101235346640 is an apocalyptic number.

101235346640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101235346640 is an abundant number, since it is smaller than the sum of its proper divisors (138577828888).

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

101235346640 is a wasteful number, since it uses less digits than its factorization.

101235346640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23876327 (or 23876321 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

Adding to 101235346640 its reverse (46643532101), we get a palindrome (147878878741).

The spelling of 101235346640 in words is "one hundred one billion, two hundred thirty-five million, three hundred forty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 4240 23876261 47752522 95505044 119381305 191010088 238762610 382020176 477525220 955050440 1265441833 1910100880 2530883666 5061767332 6327209165 10123534664 12654418330 20247069328 25308836660 50617673320 101235346640