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31204212984 = 23337119317299
BaseRepresentation
bin11101000011111010…
…101000000011111000
32222112200020021001000
4131003322220003320
51002401234303414
622200210325000
72153161301610
oct350372500370
988480207030
1031204212984
1112262a6807a
12606a289760
132c33a03069
141720353a40
15c296e7b09
hex743ea80f8

31204212984 has 128 divisors (see below), whose sum is σ = 99149760000. Its totient is φ = 8907501312.

The previous prime is 31204212983. The next prime is 31204213043. The reversal of 31204212984 is 48921240213.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31204212983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1795167 + ... + 1812465.

It is an arithmetic number, because the mean of its divisors is an integer number (774607500).

Almost surely, 231204212984 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 31204212984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49574880000).

31204212984 is an abundant number, since it is smaller than the sum of its proper divisors (67945547016).

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

31204212984 is a wasteful number, since it uses less digits than its factorization.

31204212984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18514 (or 18504 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 31204212984 in words is "thirty-one billion, two hundred four million, two hundred twelve thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1193 1512 2386 3579 4772 7158 8351 9544 10737 14316 16702 17299 21474 25053 28632 32211 33404 34598 42948 50106 51897 64422 66808 69196 75159 85896 100212 103794 121093 128844 138392 150318 155691 200424 207588 225477 242186 257688 300636 311382 363279 415176 450954 467073 484372 601272 622764 726558 901908 934146 968744 1089837 1245528 1453116 1803816 1868292 2179674 2906232 3269511 3736584 4359348 6539022 8718696 13078044 20637707 26156088 41275414 61913121 82550828 123826242 144463949 165101656 185739363 247652484 288927898 371478726 433391847 495304968 557218089 577855796 742957452 866783694 1114436178 1155711592 1300175541 1485914904 1733567388 2228872356 2600351082 3467134776 3900526623 4457744712 5200702164 7801053246 10401404328 15602106492 31204212984