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31302031302 = 23237471019901
BaseRepresentation
bin11101001001101111…
…110001011111000110
32222210111021221112200
4131021233301133012
51003101310000202
622214023055330
72155456606323
oct351157613706
988714257480
1031302031302
11123031a9463
126096ba1546
132c4b061819
14172d337b4a
15c330bae1c
hex749bf17c6

31302031302 has 96 divisors (see below), whose sum is σ = 71847644544. Its totient is φ = 9836640000.

The previous prime is 31302031279. The next prime is 31302031307. The reversal of 31302031302 is 20313020313.

31302031302 is a `hidden beast` number, since 31 + 302 + 0 + 31 + 302 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31302031307) 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, 3156552 + ... + 3166452.

It is an arithmetic number, because the mean of its divisors is an integer number (748412964).

Almost surely, 231302031302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31302031302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35923822272).

31302031302 is an abundant number, since it is smaller than the sum of its proper divisors (40545613242).

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

31302031302 is a wasteful number, since it uses less digits than its factorization.

31302031302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10094 (or 10091 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 31302031302 its reverse (20313020313), we get a palindrome (51615051615).

The spelling of 31302031302 in words is "thirty-one billion, three hundred two million, thirty-one thousand, three hundred two".

Divisors: 1 2 3 6 9 18 37 47 74 94 101 111 141 202 222 282 303 333 423 606 666 846 909 1739 1818 3478 3737 4747 5217 7474 9494 9901 10434 11211 14241 15651 19802 22422 28482 29703 31302 33633 42723 59406 67266 85446 89109 175639 178218 351278 366337 465347 526917 732674 930694 1000001 1053834 1099011 1396041 1580751 2000002 2198022 2792082 3000003 3161502 3297033 4188123 6000006 6594066 8376246 9000009 17217839 18000018 34435678 37000037 47000047 51653517 74000074 94000094 103307034 111000111 141000141 154960551 222000222 282000282 309921102 333000333 423000423 666000666 846000846 1739001739 3478003478 5217005217 10434010434 15651015651 31302031302