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1012300320120 = 2335531491068233
BaseRepresentation
bin11101011101100011100…
…11010000110101111000
310120202220221122102120220
432232301303100311320
5113041142340220440
62053013325020040
7133064513514435
oct16566163206570
93522827572526
101012300320120
1136035015a511
121442353b4620
13745c8710a7b
1436dd1cbcb8c
151b4eb55a8d0
hexebb1cd0d78

1012300320120 has 128 divisors (see below), whose sum is σ = 3114970344000. Its totient is φ = 263075631104.

The previous prime is 1012300320071. The next prime is 1012300320149. The reversal of 1012300320120 is 210230032101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1012300320120.

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, 413524 + ... + 1481756.

Almost surely, 21012300320120 is an apocalyptic number.

1012300320120 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 1012300320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557485172000).

1012300320120 is an abundant number, since it is smaller than the sum of its proper divisors (2102670023880).

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

1012300320120 is a wasteful number, since it uses less digits than its factorization.

1012300320120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068449 (or 1068445 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1012300320120 its reverse (210230032101), we get a palindrome (1222530352221).

The spelling of 1012300320120 in words is "one trillion, twelve billion, three hundred million, three hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 149 159 212 265 298 318 424 447 530 596 636 745 795 894 1060 1192 1272 1490 1590 1788 2120 2235 2980 3180 3576 4470 5960 6360 7897 8940 15794 17880 23691 31588 39485 47382 63176 78970 94764 118455 157940 189528 236910 315880 473820 947640 1068233 2136466 3204699 4272932 5341165 6409398 8545864 10682330 12818796 16023495 21364660 25637592 32046990 42729320 56616349 64093980 113232698 128187960 159166717 169849047 226465396 283081745 318333434 339698094 452930792 477500151 566163490 636666868 679396188 795833585 849245235 955000302 1132326980 1273333736 1358792376 1591667170 1698490470 1910000604 2264653960 2387500755 3183334340 3396980940 3820001208 4775001510 6366668680 6793961880 8435836001 9550003020 16871672002 19100006040 25307508003 33743344004 42179180005 50615016006 67486688008 84358360010 101230032012 126537540015 168716720020 202460064024 253075080030 337433440040 506150160060 1012300320120