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3130122210 = 235234999091
BaseRepresentation
bin1011101010010001…
…1101111111100010
322002010212200110020
42322210131333202
522402302402320
61234333214310
7140365412505
oct27244357742
98063780406
103130122210
111366966166
12734331396
133ab643827
142199d913c
15134be8940
hexba91dfe2

3130122210 has 64 divisors (see below), whose sum is σ = 7855488000. Its totient is φ = 796720320.

The previous prime is 3130122179. The next prime is 3130122217. The reversal of 3130122210 is 122210313.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3130122210.

It is not an unprimeable number, because it can be changed into a prime (3130122217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 339765 + ... + 348855.

It is an arithmetic number, because the mean of its divisors is an integer number (122742000).

Almost surely, 23130122210 is an apocalyptic number.

3130122210 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3130122210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3927744000).

3130122210 is an abundant number, since it is smaller than the sum of its proper divisors (4725365790).

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

3130122210 is a wasteful number, since it uses less digits than its factorization.

3130122210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9623.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 3130122210 is about 55947.4951181909. The cubic root of 3130122210 is about 1462.8072294870.

Adding to 3130122210 its reverse (122210313), we get a palindrome (3252332523).

The spelling of 3130122210 in words is "three billion, one hundred thirty million, one hundred twenty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 499 690 998 1497 2495 2994 4990 7485 9091 11477 14970 18182 22954 27273 34431 45455 54546 57385 68862 90910 114770 136365 172155 209093 272730 344310 418186 627279 1045465 1254558 2090930 3136395 4536409 6272790 9072818 13609227 22682045 27218454 45364090 68046135 104337407 136092270 208674814 313012221 521687035 626024442 1043374070 1565061105 3130122210