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1303120431030 = 2351126935574127
BaseRepresentation
bin10010111101101000000…
…001111100011110110110
311121120120200222202212210
4102331220001330132312
5132322242312243110
62434351213154250
7163101352622055
oct22755001743666
94546520882783
101303120431030
11462717569210
1219067848b986
1395b64726b32
14470ddb8039c
1523d6cd57520
hex12f6807c7b6

1303120431030 has 128 divisors (see below), whose sum is σ = 3426282270720. Its totient is φ = 314568880640.

The previous prime is 1303120431013. The next prime is 1303120431043. The reversal of 1303120431030 is 301340213031.

It is a junction number, because it is equal to n+sod(n) for n = 1303120430988 and 1303120431006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 315752827 + ... + 315756953.

It is an arithmetic number, because the mean of its divisors is an integer number (26767830240).

Almost surely, 21303120431030 is an apocalyptic number.

1303120431030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1303120431030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713141135360).

1303120431030 is an abundant number, since it is smaller than the sum of its proper divisors (2123161839690).

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

1303120431030 is a wasteful number, since it uses less digits than its factorization.

1303120431030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7974.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1303120431030 its reverse (301340213031), we get a palindrome (1604460644061).

The spelling of 1303120431030 in words is "one trillion, three hundred three billion, one hundred twenty million, four hundred thirty-one thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 269 330 538 807 1345 1614 2690 2959 3557 4035 4127 5918 7114 8070 8254 8877 10671 12381 14795 17754 17785 20635 21342 24762 29590 35570 39127 41270 44385 45397 53355 61905 78254 88770 90794 106710 117381 123810 136191 195635 226985 234762 272382 391270 453970 586905 680955 956833 1110163 1173810 1361910 1913666 2220326 2870499 3330489 4784165 5550815 5740998 6660978 9568330 10525163 11101630 12211793 14352495 14679739 16652445 21050326 24423586 28704990 29359478 31575489 33304890 36635379 44039217 52625815 61058965 63150978 73270758 73398695 88078434 105251630 122117930 146797390 157877445 161477129 183176895 220196085 315754890 322954258 366353790 440392170 484431387 807385645 968862774 1614771290 2422156935 3948849791 4844313870 7897699582 11846549373 19744248955 23693098746 39488497910 43437347701 59232746865 86874695402 118465493730 130312043103 217186738505 260624086206 434373477010 651560215515 1303120431030