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1221313002 = 237134189613
BaseRepresentation
bin100100011001011…
…1100000111101010
310011010010010110220
41020302330013222
510000124004002
6321104550510
742156663210
oct11062740752
93133103426
101221313002
11577443598
122a1022436
13166047420
14b82bacb0
157234a7bc
hex48cbc1ea

1221313002 has 128 divisors (see below), whose sum is σ = 3119316480. Its totient is φ = 310210560.

The previous prime is 1221312977. The next prime is 1221313007. The reversal of 1221313002 is 2003131221.

It is not an unprimeable number, because it can be changed into a prime (1221313007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1992048 + ... + 1992660.

It is an arithmetic number, because the mean of its divisors is an integer number (24369660).

Almost surely, 21221313002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221313002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559658240).

1221313002 is an abundant number, since it is smaller than the sum of its proper divisors (1898003478).

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

1221313002 is a wasteful number, since it uses less digits than its factorization.

1221313002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768.

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

The square root of 1221313002 is about 34947.2889077250. The cubic root of 1221313002 is about 1068.9129210403.

Adding to 1221313002 its reverse (2003131221), we get a palindrome (3224444223).

The spelling of 1221313002 in words is "one billion, two hundred twenty-one million, three hundred thirteen thousand, two".

Divisors: 1 2 3 6 7 13 14 21 26 39 41 42 78 82 89 91 123 178 182 246 267 273 287 533 534 546 574 613 623 861 1066 1157 1226 1246 1599 1722 1839 1869 2314 3198 3471 3649 3678 3731 3738 4291 6942 7298 7462 7969 8099 8582 10947 11193 12873 15938 16198 21894 22386 23907 24297 25133 25543 25746 47437 47814 48594 50266 51086 54557 55783 75399 76629 94874 109114 111566 142311 150798 153258 163671 167349 175931 284622 326729 327342 332059 334698 351862 381899 527793 653458 664118 709241 763798 980187 996177 1055586 1145697 1418482 1960374 1992354 2127723 2236837 2287103 2291394 4255446 4473674 4574206 4964687 6710511 6861309 9929374 13421022 13722618 14894061 15657859 29078881 29788122 31315718 46973577 58157762 87236643 93947154 174473286 203552167 407104334 610656501 1221313002