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1220410152304 = 24779157878539
BaseRepresentation
bin10001110000100110000…
…111010001010101110000
311022200002111000021102021
4101300212013101111300
5124443344444333204
62332352041001224
7154112621064160
oct21604607212560
94280074007367
101220410152304
11430633795662
12178634a83214
138b112c49bc5
14430d50985a0
1521b2b973154
hex11c261d1570

1220410152304 has 80 divisors (see below), whose sum is σ = 2753976908800. Its totient is φ = 513122418432.

The previous prime is 1220410152257. The next prime is 1220410152319. The reversal of 1220410152304 is 4032510140221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 949867 + ... + 1828405.

It is an arithmetic number, because the mean of its divisors is an integer number (34424711360).

Almost surely, 21220410152304 is an apocalyptic number.

1220410152304 is a gapful number since it is divisible by the number (14) 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 1220410152304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376988454400).

1220410152304 is an abundant number, since it is smaller than the sum of its proper divisors (1533566756496).

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

1220410152304 is a wasteful number, since it uses less digits than its factorization.

1220410152304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878790 (or 878784 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 1220410152304 its reverse (4032510140221), we get a palindrome (5252920292525).

The spelling of 1220410152304 in words is "one trillion, two hundred twenty billion, four hundred ten million, one hundred fifty-two thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 79 112 157 158 314 316 553 628 632 1099 1106 1256 1264 2198 2212 2512 4396 4424 8792 8848 12403 17584 24806 49612 86821 99224 173642 198448 347284 694568 878539 1389136 1757078 3514156 6149773 7028312 12299546 14056624 24599092 49198184 69404581 98396368 137930623 138809162 275861246 277618324 485832067 551722492 555236648 965514361 971664134 1103444984 1110473296 1931028722 1943328268 2206889968 3862057444 3886656536 7724114888 7773313072 10896519217 15448229776 21793038434 43586076868 76275634519 87172153736 152551269038 174344307472 305102538076 610205076152 1220410152304