Search a number
-
+
61235314300 = 22529756311213
BaseRepresentation
bin111001000001111010…
…001011111001111100
312212001121001021101201
4321001322023321330
52000402220024200
644044153145244
74265316404056
oct710172137174
9185047037351
1061235314300
1123a73813a76
12ba4b6bb224
135a0b6674b4
142d6c9768d6
1518d5e16c6a
hexe41e8be7c

61235314300 has 72 divisors (see below), whose sum is σ = 134500985136. Its totient is φ = 24196392960.

The previous prime is 61235314279. The next prime is 61235314303. The reversal of 61235314300 is 341353216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61235314303) 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, 5455494 + ... + 5466706.

It is an arithmetic number, because the mean of its divisors is an integer number (1868069238).

Almost surely, 261235314300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61235314300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67250492568).

61235314300 is an abundant number, since it is smaller than the sum of its proper divisors (73265670836).

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

61235314300 is a wasteful number, since it uses less digits than its factorization.

61235314300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11887 (or 11880 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

Adding to 61235314300 its reverse (341353216), we get a palindrome (61576667516).

The spelling of 61235314300 in words is "sixty-one billion, two hundred thirty-five million, three hundred fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 194 388 485 563 970 1126 1940 2252 2425 2815 4850 5630 9700 11213 11260 14075 22426 28150 44852 54611 56065 56300 109222 112130 218444 224260 273055 280325 546110 560650 1087661 1092220 1121300 1365275 2175322 2730550 4350644 5438305 5461100 6312919 10876610 12625838 21753220 25251676 27191525 31564595 54383050 63129190 108766100 126258380 157822975 315645950 612353143 631291900 1224706286 2449412572 3061765715 6123531430 12247062860 15308828575 30617657150 61235314300