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13021220212 = 227211133831213
BaseRepresentation
bin11000010000010000…
…00000110101110100
31020121110201112010021
430020020000311310
5203131413021322
65552025534524
7640451355100
oct141010006564
936543645107
1013021220212
115582159520
122634944444
1312c68c1640
148b74d0900
155132444c7
hex308200d74

13021220212 has 144 divisors (see below), whose sum is σ = 31248709632. Its totient is φ = 4666878720.

The previous prime is 13021220143. The next prime is 13021220221. The reversal of 13021220212 is 21202212031.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10734118 + ... + 10735330.

It is an arithmetic number, because the mean of its divisors is an integer number (217004928).

Almost surely, 213021220212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13021220212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15624354816).

13021220212 is an abundant number, since it is smaller than the sum of its proper divisors (18227489420).

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

13021220212 is a wasteful number, since it uses less digits than its factorization.

13021220212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 13021220212 its reverse (21202212031), we get a palindrome (34223432243).

The spelling of 13021220212 in words is "thirteen billion, twenty-one million, two hundred twenty thousand, two hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 143 154 182 196 286 308 364 383 539 572 637 766 1001 1078 1213 1274 1532 2002 2156 2426 2548 2681 4004 4213 4852 4979 5362 7007 8426 8491 9958 10724 13343 14014 15769 16852 16982 18767 19916 26686 28028 29491 31538 33964 34853 37534 53372 54769 58982 59437 63076 69706 75068 93401 109538 110383 117964 118874 139412 173459 186802 206437 219076 220766 237748 243971 346918 373604 383383 412874 441532 464579 487942 653807 693836 766766 772681 825748 929158 975884 1214213 1307614 1533532 1545362 1858316 2428426 2615228 2683681 3090724 3252053 4856852 5110369 5367362 6039527 6504106 8499491 10220738 10734724 12079054 13008212 16998982 20441476 22764371 24158108 33997964 35772583 42276689 45528742 66434797 71545166 84553378 91057484 132869594 143090332 169106756 250408081 265739188 295936823 465043579 500816162 591873646 930087158 1001632324 1183747292 1860174316 3255305053 6510610106 13021220212