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31034310032 = 2411372151853
BaseRepresentation
bin11100111001110010…
…011111110110010000
32222002211112022000002
4130321302133312100
51002024240410112
622131300545132
72146026165665
oct347162376620
988084468002
1031034310032
1112186071510
1260213b21a8
132c07755c7b
141705967a6c
15c198361c2
hex739c9fd90

31034310032 has 120 divisors (see below), whose sum is σ = 67942026432. Its totient is φ = 13618368000.

The previous prime is 31034310011. The next prime is 31034310061. The reversal of 31034310032 is 23001343013.

It is a junction number, because it is equal to n+sod(n) for n = 31034309986 and 31034310013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36382118 + ... + 36382970.

Almost surely, 231034310032 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 31034310032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33971013216).

31034310032 is an abundant number, since it is smaller than the sum of its proper divisors (36907716400).

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

31034310032 is a wasteful number, since it uses less digits than its factorization.

31034310032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 31034310032 its reverse (23001343013), we get a palindrome (54035653045).

The spelling of 31034310032 in words is "thirty-one billion, thirty-four million, three hundred ten thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 37 44 74 88 148 151 176 296 302 407 592 604 814 853 1208 1369 1628 1661 1706 2416 2738 3256 3322 3412 5476 5587 6512 6644 6824 9383 10952 11174 13288 13648 15059 18766 21904 22348 26576 30118 31561 37532 44696 60236 61457 63122 75064 89392 120472 122914 126244 128803 150128 206719 240944 245828 252488 257606 347171 413438 491656 504976 515212 694342 826876 983312 1030424 1167757 1388684 1416833 1653752 2060848 2273909 2335514 2777368 2833666 3307504 4547818 4671028 4765711 5554736 5667332 9095636 9342056 9531422 11334664 12845327 18191272 18684112 19062844 22669328 25690654 36382544 38125688 51381308 52422821 76251376 102762616 104845642 176331307 205525232 209691284 352662614 419382568 705325228 838765136 1410650456 1939644377 2821300912 3879288754 7758577508 15517155016 31034310032