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3100122103000 = 235313281848651
BaseRepresentation
bin101101000111001101101…
…011010011110011011000
3101222100221211200002112011
4231013031223103303120
5401243022224244000
610332102035355304
7436655626043026
oct55071553236330
911870854602464
103100122103000
11a9583311a64a
124209a8752b34
13196456721830
14aa09225d716
155599454c2ba
hex2d1cdad3cd8

3100122103000 has 128 divisors (see below), whose sum is σ = 7840118744640. Its totient is φ = 1140585600000.

The previous prime is 3100122102991. The next prime is 3100122103027. The reversal of 3100122103000 is 3012210013.

It is a super-2 number, since 2×31001221030002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

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 31 ways as a sum of consecutive naturals, for example, 3228675 + ... + 4077325.

Almost surely, 23100122103000 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 3100122103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3920059372320).

3100122103000 is an abundant number, since it is smaller than the sum of its proper divisors (4739996641640).

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

3100122103000 is a wasteful number, since it uses less digits than its factorization.

3100122103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848966 (or 848952 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 3100122103000 its reverse (3012210013), we get a palindrome (3103134313013).

The spelling of 3100122103000 in words is "three trillion, one hundred billion, one hundred twenty-two million, one hundred three thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 281 325 500 520 562 650 1000 1124 1300 1405 1625 2248 2600 2810 3250 3653 5620 6500 7025 7306 11240 13000 14050 14612 18265 28100 29224 35125 36530 56200 70250 73060 91325 140500 146120 182650 281000 365300 456625 730600 848651 913250 1697302 1826500 3394604 3653000 4243255 6789208 8486510 11032463 16973020 21216275 22064926 33946040 42432550 44129852 55162315 84865100 88259704 106081375 110324630 169730200 212162750 220649260 238470931 275811575 424325500 441298520 476941862 551623150 848651000 953883724 1103246300 1192354655 1379057875 1907767448 2206492600 2384709310 2758115750 3100122103 4769418620 5516231500 5961773275 6200244206 9538837240 11032463000 11923546550 12400488412 15500610515 23847093100 24800976824 29808866375 31001221030 47694186200 59617732750 62002442060 77503052575 119235465500 124004884120 155006105150 238470931000 310012210300 387515262875 620024420600 775030525750 1550061051500 3100122103000