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313212122031000 = 23353199752280441
BaseRepresentation
bin100011100110111010110000…
…1010001011110001110011000
31112001222210020022110210001010
41013031311201101132032120
5312023131411214443000
63030051355032053520
7122654554236662643
oct10715654121361630
91461883208423033
10313212122031000
1190887573510755
122b166735b342a0
131059ca128cc3ba
14574b794844a5a
152632575792d50
hex11cdd6145e398

313212122031000 has 128 divisors (see below), whose sum is σ = 977711184365760. Its totient is φ = 83481406592000.

The previous prime is 313212122030971. The next prime is 313212122031013. The reversal of 313212122031000 is 130221212313.

It is a super-2 number, since 2×3132121220310002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20149221 + ... + 32131220.

Almost surely, 2313212122031000 is an apocalyptic number.

313212122031000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313212122031000 is an abundant number, since it is smaller than the sum of its proper divisors (664499062334760).

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

313212122031000 is a wasteful number, since it uses less digits than its factorization.

313212122031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52282462 (or 52282448 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 313212122031000 its reverse (130221212313), we get a palindrome (313342343243313).

The spelling of 313212122031000 in words is "three hundred thirteen trillion, two hundred twelve billion, one hundred twenty-two million, thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 1997 3000 3994 5991 7988 9985 11982 15976 19970 23964 29955 39940 47928 49925 59910 79880 99850 119820 149775 199700 239640 249625 299550 399400 499250 599100 748875 998500 1198200 1497750 1997000 2995500 5991000 52280441 104560882 156841323 209121764 261402205 313682646 418243528 522804410 627365292 784206615 1045608820 1254730584 1307011025 1568413230 2091217640 2614022050 3136826460 3921033075 5228044100 6273652920 6535055125 7842066150 10456088200 13070110250 15684132300 19605165375 26140220500 31368264600 39210330750 52280441000 78420661500 104404040677 156841323000 208808081354 313212122031 417616162708 522020203385 626424244062 835232325416 1044040406770 1252848488124 1566060610155 2088080813540 2505696976248 2610101016925 3132121220310 4176161627080 5220202033850 6264242440620 7830303050775 10440404067700 12528484881240 13050505084625 15660606101550 20880808135400 26101010169250 31321212203100 39151515253875 52202020338500 62642424406200 78303030507750 104404040677000 156606061015500 313212122031000