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1030102311100 = 225243547143787
BaseRepresentation
bin11101111110101101110…
…00011110000010111100
310122110212121020021022011
432333112320132002330
5113334122142423400
62105120015301004
7134264616113662
oct16772670360274
93573777207264
101030102311100
11367955999855
1214778321a764
13761a4903345
1437c002c4c32
151bbde34e8ba
hexefd6e1e0bc

1030102311100 has 72 divisors (see below), whose sum is σ = 2287776572928. Its totient is φ = 402375825600.

The previous prime is 1030102311097. The next prime is 1030102311107. The reversal of 1030102311100 is 11132010301.

It is a super-2 number, since 2×10301023111002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030102311107) 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, 23503407 + ... + 23547193.

It is an arithmetic number, because the mean of its divisors is an integer number (31774674624).

Almost surely, 21030102311100 is an apocalyptic number.

1030102311100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1030102311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143888286464).

1030102311100 is an abundant number, since it is smaller than the sum of its proper divisors (1257674261828).

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

1030102311100 is a wasteful number, since it uses less digits than its factorization.

1030102311100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49315 (or 49308 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 1030102311100 its reverse (11132010301), we get a palindrome (1041234321401).

The spelling of 1030102311100 in words is "one trillion, thirty billion, one hundred two million, three hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 430 860 1075 2150 4300 5471 10942 21884 27355 43787 54710 87574 109420 136775 175148 218935 235253 273550 437870 470506 547100 875740 941012 1094675 1176265 1882841 2189350 2352530 3765682 4378700 4705060 5881325 7531364 9414205 11762650 18828410 23525300 37656820 47071025 94142050 188284100 239558677 479117354 958234708 1197793385 2395586770 4791173540 5988966925 10301023111 11977933850 20602046222 23955867700 41204092444 51505115555 103010231110 206020462220 257525577775 515051155550 1030102311100