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1302212232030 = 235293760376701
BaseRepresentation
bin10010111100110001111…
…001011100001101011110
311121111020102001111001210
4102330301321130031132
5132313412312411110
62434121131245250
7163040014224423
oct22746171341536
94544212044053
101302212232030
114622a0946926
121904642a9826
1395a4b51c588
14470552cbd4a
1523d1825b520
hex12f31e5c35e

1302212232030 has 128 divisors (see below), whose sum is σ = 3321504766080. Its totient is φ = 326117836800.

The previous prime is 1302212232023. The next prime is 1302212232031. The reversal of 1302212232030 is 302322122031.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1302212231988 and 1302212232006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1302212232031) by changing a digit.

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, 194327680 + ... + 194334380.

It is an arithmetic number, because the mean of its divisors is an integer number (25949255985).

Almost surely, 21302212232030 is an apocalyptic number.

1302212232030 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 1302212232030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660752383040).

1302212232030 is an abundant number, since it is smaller than the sum of its proper divisors (2019292534050).

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

1302212232030 is a wasteful number, since it uses less digits than its factorization.

1302212232030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12814.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 1302212232030 its reverse (302322122031), we get a palindrome (1604534354061).

The spelling of 1302212232030 in words is "one trillion, three hundred two billion, two hundred twelve million, two hundred thirty-two thousand, thirty".

Divisors: 1 2 3 5 6 10 15 29 30 37 58 74 87 111 145 174 185 222 290 370 435 555 870 1073 1110 2146 3219 5365 6037 6438 6701 10730 12074 13402 16095 18111 20103 30185 32190 33505 36222 40206 60370 67010 90555 100515 175073 181110 194329 201030 223369 247937 350146 388658 446738 495874 525219 582987 670107 743811 875365 971645 1050438 1116845 1165974 1239685 1340214 1487622 1750730 1943290 2233690 2479370 2626095 2914935 3350535 3719055 5252190 5829870 6477701 6701070 7190173 7438110 12955402 14380346 19433103 21570519 32388505 35950865 38866206 40453937 43141038 64777010 71901730 80907874 97165515 107852595 121361811 194331030 202269685 215705190 242723622 404539370 606809055 1173164173 1213618110 1496795669 2346328346 2993591338 3519492519 4490387007 5865820865 7038985038 7483978345 8980774014 11731641730 14967956690 17597462595 22451935035 35194925190 43407074401 44903870070 86814148802 130221223203 217035372005 260442446406 434070744010 651106116015 1302212232030