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31210011414 = 232233710120173
BaseRepresentation
bin11101000100010000…
…101111101100010110
32222120002010211222200
4131010100233230112
51002404230331124
622200534505330
72153261501631
oct350420575426
988502124880
1031210011414
111226626856a
126070205246
132c34c8339a
141721022c18
15c29e90bc9
hex74442fb16

31210011414 has 96 divisors (see below), whose sum is σ = 73189980864. Its totient is φ = 9585734400.

The previous prime is 31210011409. The next prime is 31210011421. The reversal of 31210011414 is 41411001213.

31210011414 is a `hidden beast` number, since 31 + 210 + 0 + 11 + 414 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1537032 + ... + 1557204.

It is an arithmetic number, because the mean of its divisors is an integer number (762395634).

Almost surely, 231210011414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31210011414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36594990432).

31210011414 is an abundant number, since it is smaller than the sum of its proper divisors (41979969450).

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

31210011414 is a wasteful number, since it uses less digits than its factorization.

31210011414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20342 (or 20339 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 31210011414 its reverse (41411001213), we get a palindrome (72621012627).

The spelling of 31210011414 in words is "thirty-one billion, two hundred ten million, eleven thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 23 37 46 69 74 101 111 138 202 207 222 303 333 414 606 666 851 909 1702 1818 2323 2553 3737 4646 5106 6969 7474 7659 11211 13938 15318 20173 20907 22422 33633 40346 41814 60519 67266 85951 121038 171902 181557 257853 363114 463979 515706 746401 773559 927958 1391937 1492802 1547118 2037473 2239203 2783874 4074946 4175811 4478406 6112419 6717609 8351622 12224838 13435218 17167223 18337257 34334446 36674514 46861879 51501669 75386501 93723758 103003338 140585637 150773002 154505007 226159503 281171274 309010014 421756911 452319006 678478509 843513822 1356957018 1733889523 3467779046 5201668569 10403337138 15605005707 31210011414