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1312231330300 = 2252112362778263
BaseRepresentation
bin10011000110000111000…
…101010001000111111100
311122110002122202102002111
4103012013011101013330
5132444422210032200
62442455235303404
7163543213161442
oct23060705210774
94573078672074
101312231330300
11466572415730
1219239b74ab64
13969871658a7
1447725bc2b92
1524202b3d0ba
hex131871511fc

1312231330300 has 144 divisors (see below), whose sum is σ = 3242379474432. Its totient is φ = 456300345600.

The previous prime is 1312231330253. The next prime is 1312231330307. The reversal of 1312231330300 is 30331322131.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312231330307) 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 47 ways as a sum of consecutive naturals, for example, 158803969 + ... + 158812231.

It is an arithmetic number, because the mean of its divisors is an integer number (22516524128).

Almost surely, 21312231330300 is an apocalyptic number.

1312231330300 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 1312231330300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621189737216).

1312231330300 is an abundant number, since it is smaller than the sum of its proper divisors (1930148144132).

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

1312231330300 is a wasteful number, since it uses less digits than its factorization.

1312231330300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14588 (or 14581 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 1312231330300 its reverse (30331322131), we get a palindrome (1342562652431).

The spelling of 1312231330300 in words is "one trillion, three hundred twelve billion, two hundred thirty-one million, three hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 220 230 253 275 460 506 550 575 1012 1100 1150 1265 2300 2530 5060 6277 6325 8263 12554 12650 16526 25108 25300 31385 33052 41315 62770 69047 82630 90893 125540 138094 144371 156925 165260 181786 190049 206575 276188 288742 313850 345235 363572 380098 413150 454465 577484 627700 690470 721855 760196 826300 908930 950245 1380940 1443710 1588081 1726175 1817860 1900490 2090539 2272325 2887420 3176162 3452350 3609275 3800980 4181078 4544650 4751225 6352324 6904700 7218550 7940405 8362156 9089300 9502450 10452695 14437100 15880810 19004900 20905390 31761620 39702025 41810780 51866851 52263475 79404050 103733702 104526950 158808100 207467404 209053900 259334255 518668510 570535361 1037337020 1141070722 1192937573 1296671275 2282141444 2385875146 2593342550 2852676805 4771750292 5186685100 5705353610 5964687865 11410707220 11929375730 13122313303 14263384025 23858751460 26244626606 28526768050 29823439325 52489253212 57053536100 59646878650 65611566515 119293757300 131223133030 262446266060 328057832575 656115665150 1312231330300