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10310232123120 = 24351132811352921
BaseRepresentation
bin1001011000001000100110…
…1110010010011011110000
31100111122111210200222202110
42112002021232102123300
52322410323410414440
633532242200045320
72112614110026456
oct226021156223360
940448453628673
1010310232123120
1133155aa278916
1211a6237a63840
1359a334a98047
142790371789d6
1512d2d5a62080
hex96089b926f0

10310232123120 has 160 divisors (see below), whose sum is σ = 32359339923264. Its totient is φ = 2715364556800.

The previous prime is 10310232123083. The next prime is 10310232123127. The reversal of 10310232123120 is 2132123201301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10310232123127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6944260 + ... + 8297180.

Almost surely, 210310232123120 is an apocalyptic number.

10310232123120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10310232123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16179669961632).

10310232123120 is an abundant number, since it is smaller than the sum of its proper divisors (22049107800144).

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

10310232123120 is a wasteful number, since it uses less digits than its factorization.

10310232123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353331 (or 1353325 counting only the distinct ones).

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

Adding to 10310232123120 its reverse (2132123201301), we get a palindrome (12442355324421).

The spelling of 10310232123120 in words is "ten trillion, three hundred ten billion, two hundred thirty-two million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 113 120 226 240 281 339 452 562 565 678 843 904 1124 1130 1356 1405 1686 1695 1808 2248 2260 2712 2810 3372 3390 4215 4496 4520 5424 5620 6744 6780 8430 9040 11240 13488 13560 16860 22480 27120 31753 33720 63506 67440 95259 127012 158765 190518 254024 317530 381036 476295 508048 635060 762072 952590 1270120 1352921 1524144 1905180 2540240 2705842 3810360 4058763 5411684 6764605 7620720 8117526 10823368 13529210 16235052 20293815 21646736 27058420 32470104 40587630 54116840 64940208 81175260 108233680 152880073 162350520 305760146 324701040 380170801 458640219 611520292 760341602 764400365 917280438 1140512403 1223040584 1520683204 1528800730 1834560876 1900854005 2281024806 2293201095 2446081168 3041366408 3057601460 3669121752 3801708010 4562049612 4586402190 5702562015 6082732816 6115202920 7338243504 7603416020 9124099224 9172804380 11405124030 12230405840 15206832040 18248198448 18345608760 22810248060 30413664080 36691217520 42959300513 45620496120 85918601026 91240992240 128877901539 171837202052 214796502565 257755803078 343674404104 429593005130 515511606156 644389507695 687348808208 859186010260 1031023212312 1288779015390 1718372020520 2062046424624 2577558030780 3436744041040 5155116061560 10310232123120