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31023003012320 = 2551129635948939
BaseRepresentation
bin1110000110111000110110…
…00100110000110011100000
311001211202210102100021200102
413003130123010300303200
513031240102232343240
6145551434300041532
76351223635462134
oct703343304606340
9131752712307612
1031023003012320
119980866483630
123590570b332a8
1314405c22b0087
147937428673c4
1538bea5c47815
hex1c371b130ce0

31023003012320 has 96 divisors (see below), whose sum is σ = 79981737413760. Its totient is φ = 11277282787840.

The previous prime is 31023003012307. The next prime is 31023003012347. The reversal of 31023003012320 is 2321030032013.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 31023003012292 and 31023003012301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2240411 + ... + 8189349.

It is an arithmetic number, because the mean of its divisors is an integer number (833143098060).

Almost surely, 231023003012320 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 31023003012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39990868706880).

31023003012320 is an abundant number, since it is smaller than the sum of its proper divisors (48958734401440).

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

31023003012320 is a wasteful number, since it uses less digits than its factorization.

31023003012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5951928 (or 5951920 counting only the distinct ones).

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

Adding to 31023003012320 its reverse (2321030032013), we get a palindrome (33344033044333).

The spelling of 31023003012320 in words is "thirty-one trillion, twenty-three billion, three million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 2963 5926 11852 14815 23704 29630 32593 47408 59260 65186 94816 118520 130372 162965 237040 260744 325930 474080 521488 651860 1042976 1303720 2607440 5214880 5948939 11897878 23795756 29744695 47591512 59489390 65438329 95183024 118978780 130876658 190366048 237957560 261753316 327191645 475915120 523506632 654383290 951830240 1047013264 1308766580 2094026528 2617533160 5235066320 10470132640 17626706257 35253412514 70506825028 88133531285 141013650056 176267062570 193893768827 282027300112 352534125140 387787537654 564054600224 705068250280 775575075308 969468844135 1410136500560 1551150150616 1938937688270 2820273001120 3102300301232 3877875376540 6204600602464 7755750753080 15511501506160 31023003012320