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1100343010312 = 237132418217639
BaseRepresentation
bin10000000000110001100…
…011011110010000001000
310220012011210111111102101
4100000301203132100020
5121012000302312222
62201253545243144
7142332345160420
oct20006143362010
93805153444371
101100343010312
1139471aa41797
121593067934b4
137c9b9b84b60
143b384c75480
151d950b58927
hex100318de408

1100343010312 has 128 divisors (see below), whose sum is σ = 2553229324800. Its totient is φ = 432909619200.

The previous prime is 1100343010301. The next prime is 1100343010313. The reversal of 1100343010312 is 2130103430011.

It is a self number, because there is not a number n which added to its sum of digits gives 1100343010312.

It is not an unprimeable number, because it can be changed into a prime (1100343010313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144038989 + ... + 144046627.

It is an arithmetic number, because the mean of its divisors is an integer number (19947104100).

Almost surely, 21100343010312 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 1100343010312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276614662400).

1100343010312 is an abundant number, since it is smaller than the sum of its proper divisors (1452886314488).

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

1100343010312 is a wasteful number, since it uses less digits than its factorization.

1100343010312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8727 (or 8723 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1100343010312 its reverse (2130103430011), we get a palindrome (3230446440323).

The spelling of 1100343010312 in words is "one trillion, one hundred billion, three hundred forty-three million, ten thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 241 364 482 728 821 964 1642 1687 1928 3133 3284 3374 5747 6266 6568 6748 7639 10673 11494 12532 13496 15278 21346 21931 22988 25064 30556 42692 43862 45976 53473 61112 74711 85384 87724 99307 106946 149422 175448 197861 198614 213892 298844 395722 397228 427784 597688 695149 791444 794456 1385027 1390298 1582888 1840999 2572193 2770054 2780596 3681998 5144386 5540108 5561192 6271619 7363996 10288772 11080216 12543238 12886993 14727992 18005351 20577544 23932987 25086476 25773986 36010702 43901333 47865974 50172952 51547972 72021404 81531047 87802666 95731948 103095944 144042808 163062094 167530909 175605332 191463896 326124188 335061818 351210664 570717329 652248376 670123636 1141434658 1340247272 1511460179 2282869316 3022920358 4565738632 6045840716 10580221253 12091681432 19648982327 21160442506 39297964654 42320885012 78595929308 84641770024 137542876289 157191858616 275085752578 550171505156 1100343010312