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1303220001030 = 2351937307201281
BaseRepresentation
bin10010111101101101111…
…101110001100100000110
311121120211122100110020120
4102331231331301210012
5132322443310013110
62434405131242410
7163104002143443
oct22755575614406
94546748313216
101303220001030
11462768796672
121906a58a9406
1395b7c2499ac
144710d09c9ca
1523d76974870
hex12f6df71906

1303220001030 has 128 divisors (see below), whose sum is σ = 3392358520320. Its totient is φ = 319291269120.

The previous prime is 1303220001029. The next prime is 1303220001053. The reversal of 1303220001030 is 301000223031.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6373990 + ... + 6575270.

It is an arithmetic number, because the mean of its divisors is an integer number (26502800940).

Almost surely, 21303220001030 is an apocalyptic number.

1303220001030 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 1303220001030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696179260160).

1303220001030 is an abundant number, since it is smaller than the sum of its proper divisors (2089138519290).

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

1303220001030 is a wasteful number, since it uses less digits than its factorization.

1303220001030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201654.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 1303220001030 its reverse (301000223031), we get a palindrome (1604220224061).

The spelling of 1303220001030 in words is "one trillion, three hundred three billion, two hundred twenty million, one thousand, thirty".

Divisors: 1 2 3 5 6 10 15 19 30 37 38 57 74 95 111 114 185 190 222 285 307 370 555 570 614 703 921 1110 1406 1535 1842 2109 3070 3515 4218 4605 5833 7030 9210 10545 11359 11666 17499 21090 22718 29165 34077 34998 56795 58330 68154 87495 113590 170385 174990 201281 215821 340770 402562 431642 603843 647463 1006405 1079105 1207686 1294926 2012810 2158210 3019215 3237315 3824339 6038430 6474630 7447397 7648678 11473017 14894794 19121695 22342191 22946034 37236985 38243390 44684382 57365085 61793267 74473970 111710955 114730170 123586534 141500543 185379801 223421910 283001086 308966335 370759602 424501629 617932670 707502715 849003258 926899005 1174072073 1415005430 1853798010 2122508145 2286350879 2348144146 3522216219 4245016290 4572701758 5870360365 6859052637 7044432438 11431754395 11740720730 13718105274 17611081095 22863508790 34295263185 35222162190 43440666701 68590526370 86881333402 130322000103 217203333505 260644000206 434406667010 651610000515 1303220001030