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3121122453104 = 2429193203917093
BaseRepresentation
bin101101011010110001011…
…001010010011001110000
3102001101011101112102010202
4231122301121102121300
5402114024321444404
610345453542014332
7441331216056365
oct55326131223160
912041141472122
103121122453104
11aa372a291497
12424a897173a8
13198422429ab6
14ab0c534446c
15562c301821e
hex2d6b1652670

3121122453104 has 80 divisors (see below), whose sum is σ = 6291562939200. Its totient is φ = 1498118995968.

The previous prime is 3121122453101. The next prime is 3121122453109. The reversal of 3121122453104 is 4013542211213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3121122453101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182587982 + ... + 182605074.

It is an arithmetic number, because the mean of its divisors is an integer number (78644536740).

Almost surely, 23121122453104 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 3121122453104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3145781469600).

3121122453104 is an abundant number, since it is smaller than the sum of its proper divisors (3170440486096).

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

3121122453104 is a wasteful number, since it uses less digits than its factorization.

3121122453104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19362 (or 19356 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 3121122453104 its reverse (4013542211213), we get a palindrome (7134664664317).

The spelling of 3121122453104 in words is "three trillion, one hundred twenty-one billion, one hundred twenty-two million, four hundred fifty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 29 58 116 193 232 386 464 772 1544 2039 3088 4078 5597 8156 11194 16312 17093 22388 32624 34186 44776 59131 68372 89552 118262 136744 236524 273488 393527 473048 495697 787054 946096 991394 1574108 1982788 3148216 3298949 3965576 6296432 6597898 7931152 11412283 13195796 22824566 26391592 34852627 45649132 52783184 69705254 91298264 95669521 139410508 182596528 191339042 278821016 382678084 557642032 765356168 1010726183 1530712336 2021452366 4042904732 6726557011 8085809464 13453114022 16171618928 26906228044 53812456088 107624912176 195070153319 390140306638 780280613276 1560561226552 3121122453104