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30121244406 = 232112312375347
BaseRepresentation
bin11100000011010111…
…011011011011110110
32212202012102202102200
4130003113123123312
5443142014310111
621500522445330
72114301232041
oct340327333366
985665382380
1030121244406
1111857725820
125a07663846
132ac0536556
14165a5a9c58
15bb45c8256
hex7035db6f6

30121244406 has 96 divisors (see below), whose sum is σ = 74365095168. Its totient is φ = 8722105920.

The previous prime is 30121244401. The next prime is 30121244437. The reversal of 30121244406 is 60444212103.

It is a happy number.

30121244406 is a `hidden beast` number, since 3 + 0 + 1 + 212 + 4 + 440 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 30121244406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30121244401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5630625 + ... + 5635971.

It is an arithmetic number, because the mean of its divisors is an integer number (774636408).

Almost surely, 230121244406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30121244406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37182547584).

30121244406 is an abundant number, since it is smaller than the sum of its proper divisors (44243850762).

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

30121244406 is a wasteful number, since it uses less digits than its factorization.

30121244406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6626 (or 6623 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 30121244406 its reverse (60444212103), we get a palindrome (90565456509).

The spelling of 30121244406 in words is "thirty billion, one hundred twenty-one million, two hundred forty-four thousand, four hundred six".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 198 207 253 414 506 759 1237 1518 2277 2474 3711 4554 5347 7422 10694 11133 13607 16041 22266 27214 28451 32082 40821 48123 56902 58817 81642 85353 96246 117634 122463 122981 170706 176451 244926 245962 256059 312961 352902 368943 512118 529353 625922 737886 938883 1058706 1106829 1352791 1877766 2213658 2705582 2816649 4058373 5633298 6614239 8116746 12175119 13228478 19842717 24350238 39685434 59528151 72756629 119056302 145513258 152127497 218269887 304254994 436539774 456382491 654809661 912764982 1309619322 1369147473 1673402467 2738294946 3346804934 5020207401 10040414802 15060622203 30121244406