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113302002 = 231123101739
BaseRepresentation
bin1101100000011…
…01100111110010
321220012100010110
412300031213302
5213001131002
615124242150
72544023352
oct660154762
9256170113
10113302002
1158a57520
1231b40356
131a620308
1411094b62
159e30e6c
hex6c0d9f2

113302002 has 64 divisors (see below), whose sum is σ = 260858880. Its totient is φ = 32472000.

The previous prime is 113301977. The next prime is 113302003. The reversal of 113302002 is 200203311.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (113302003) 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, 152949 + ... + 153687.

It is an arithmetic number, because the mean of its divisors is an integer number (4075920).

Almost surely, 2113302002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113302002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130429440).

113302002 is an abundant number, since it is smaller than the sum of its proper divisors (147556878).

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

113302002 is a wasteful number, since it uses less digits than its factorization.

113302002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 113302002 is about 10644.3413135807. The cubic root of 113302002 is about 483.8891243644.

Adding to 113302002 its reverse (200203311), we get a palindrome (313505313).

The spelling of 113302002 in words is "one hundred thirteen million, three hundred two thousand, two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 101 138 202 253 303 506 606 739 759 1111 1478 1518 2217 2222 2323 3333 4434 4646 6666 6969 8129 13938 16258 16997 24387 25553 33994 48774 50991 51106 74639 76659 101982 149278 153318 186967 223917 373934 447834 560901 821029 1121802 1642058 1716697 2463087 3433394 4926174 5150091 10300182 18883667 37767334 56651001 113302002