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1122030011130 = 235756316675693
BaseRepresentation
bin10000010100111110001…
…100110100001011111010
310222021011012102021201220
4100110332030310023322
5121340404140324010
62215241541052510
7144030643506150
oct20247614641372
93867135367656
101122030011130
113a2939765466
121615596b7136
1381a64c07312
143c44121b3d0
151e2bea5b970
hex1053e3342fa

1122030011130 has 128 divisors (see below), whose sum is σ = 3085425727488. Its totient is φ = 255809955072.

The previous prime is 1122030011129. The next prime is 1122030011183. The reversal of 1122030011130 is 311100302211.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 197086564 + ... + 197092256.

It is an arithmetic number, because the mean of its divisors is an integer number (24104888496).

Almost surely, 21122030011130 is an apocalyptic number.

1122030011130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122030011130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542712863744).

1122030011130 is an abundant number, since it is smaller than the sum of its proper divisors (1963395716358).

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

1122030011130 is a wasteful number, since it uses less digits than its factorization.

1122030011130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7940.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1122030011130 its reverse (311100302211), we get a palindrome (1433130313341).

It can be divided in two parts, 11220300 and 11130, that added together give a triangular number (11231430 = T4739).

The spelling of 1122030011130 in words is "one trillion, one hundred twenty-two billion, thirty million, eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 563 1126 1667 1689 2815 3334 3378 3941 5001 5630 5693 7882 8335 8445 10002 11386 11669 11823 16670 16890 17079 19705 23338 23646 25005 28465 34158 35007 39410 39851 50010 56930 58345 59115 70014 79702 85395 116690 118230 119553 170790 175035 199255 239106 350070 398510 597765 938521 1195530 1877042 2815563 3205159 4692605 5631126 6410318 6569647 9385210 9490231 9615477 13139294 14077815 16025795 18980462 19230954 19708941 22436113 28155630 28470693 32051590 32848235 39417882 44872226 47451155 48077385 56941386 65696470 66431617 67308339 94902310 96154770 98544705 112180565 132863234 134616678 142353465 197089410 199294851 224361130 284706930 332158085 336541695 398589702 664316170 673083390 996474255 1992948510 5343000053 10686000106 16029000159 26715000265 32058000318 37401000371 53430000530 74802000742 80145000795 112203001113 160290001590 187005001855 224406002226 374010003710 561015005565 1122030011130