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31210414420 = 22523415572971
BaseRepresentation
bin11101000100010010…
…010010000101010100
32222120002220022210211
4131010102102011110
51002404331230140
622200551255204
72153265100603
oct350422220524
988502808724
1031210414420
1112266513329
12607037a504
132c35094953
1417210c9a3a
15c2a0202ea
hex744492154

31210414420 has 96 divisors (see below), whose sum is σ = 70209006336. Its totient is φ = 11625292800.

The previous prime is 31210414373. The next prime is 31210414439. The reversal of 31210414420 is 2441401213.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 31210414391 and 31210414400.

It is a congruent number.

It is an unprimeable number.

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, 10503535 + ... + 10506505.

It is an arithmetic number, because the mean of its divisors is an integer number (731343816).

Almost surely, 231210414420 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 31210414420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35104503168).

31210414420 is an abundant number, since it is smaller than the sum of its proper divisors (38998591916).

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

31210414420 is a wasteful number, since it uses less digits than its factorization.

31210414420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3601 (or 3599 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 31210414420 its reverse (2441401213), we get a palindrome (33651815633).

The spelling of 31210414420 in words is "thirty-one billion, two hundred ten million, four hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 41 46 82 92 115 164 205 230 410 460 557 820 943 1114 1886 2228 2785 2971 3772 4715 5570 5942 9430 11140 11884 12811 14855 18860 22837 25622 29710 45674 51244 59420 64055 68333 91348 114185 121811 128110 136666 228370 243622 256220 273332 341665 456740 487244 525251 609055 683330 1050502 1218110 1366660 1654847 2101004 2436220 2626255 2801653 3309694 5252510 5603306 6619388 8274235 10505020 11206612 14008265 16548470 28016530 33096940 38061481 56033060 67848727 76122962 135697454 152245924 190307405 271394908 339243635 380614810 678487270 761229620 1356974540 1560520721 3121041442 6242082884 7802603605 15605207210 31210414420