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3010311430100 = 2252132713853529
BaseRepresentation
bin101011110011100100100…
…010110001111111010100
3101122210010210001012100122
4223303210202301333110
5343310104211230400
610222530141131112
7430326215652362
oct53634442617724
911583123035318
103010311430100
11a60736361837
12407503259a98
1318ab42bba930
14a59b2566632
1553489b1c685
hex2bce48b1fd4

3010311430100 has 72 divisors (see below), whose sum is σ = 7037467515960. Its totient is φ = 1111088609280.

The previous prime is 3010311430067. The next prime is 3010311430153. The reversal of 3010311430100 is 10341130103.

It can be written as a sum of positive squares in 12 ways, for example, as 6211331344 + 3004100098756 = 78812^2 + 1733234^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3100136 + ... + 3953664.

Almost surely, 23010311430100 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 3010311430100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3518733757980).

3010311430100 is an abundant number, since it is smaller than the sum of its proper divisors (4027156085860).

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

3010311430100 is a wasteful number, since it uses less digits than its factorization.

3010311430100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856269 (or 856262 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 3010311430100 its reverse (10341130103), we get a palindrome (3020652560203).

The spelling of 3010311430100 in words is "three trillion, ten billion, three hundred eleven million, four hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 2713 5426 10852 13565 27130 35269 54260 67825 70538 135650 141076 176345 271300 352690 705380 853529 881725 1707058 1763450 3414116 3526900 4267645 8535290 11095877 17070580 21338225 22191754 42676450 44383508 55479385 85352900 110958770 221917540 277396925 554793850 1109587700 2315624177 4631248354 9262496708 11578120885 23156241770 30103114301 46312483540 57890604425 60206228602 115781208850 120412457204 150515571505 231562417700 301031143010 602062286020 752577857525 1505155715050 3010311430100