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21132113002 = 27112136115731
BaseRepresentation
bin10011101011100100…
…100111010001101010
32000112201210120022221
4103223210213101222
5321234310104002
613412530304254
71345446665620
oct235344472152
960481716287
1021132113002
118a64588300
12411912808a
131cba0c02a0
1410467c3510
1583a346c37
hex4eb92746a

21132113002 has 96 divisors (see below), whose sum is σ = 43587960192. Its totient is φ = 7474896000.

The previous prime is 21132112999. The next prime is 21132113003. The reversal of 21132113002 is 20031123112.

It is not an unprimeable number, because it can be changed into a prime (21132113003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1335477 + ... + 1351207.

It is an arithmetic number, because the mean of its divisors is an integer number (454041252).

Almost surely, 221132113002 is an apocalyptic number.

21132113002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

21132113002 is an abundant number, since it is smaller than the sum of its proper divisors (22455847190).

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

21132113002 is a wasteful number, since it uses less digits than its factorization.

21132113002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15836 (or 15825 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 21132113002 its reverse (20031123112), we get a palindrome (41163236114).

The spelling of 21132113002 in words is "twenty-one billion, one hundred thirty-two million, one hundred thirteen thousand, two".

Divisors: 1 2 7 11 13 14 22 26 61 77 91 121 122 143 154 182 242 286 427 671 793 847 854 1001 1342 1573 1586 1694 2002 3146 4697 5551 7381 8723 9394 11011 11102 14762 15731 17446 22022 31462 51667 61061 95953 103334 110117 122122 173041 191906 204503 220234 346082 409006 671671 959591 1211287 1343342 1431521 1903451 1919182 2249533 2422574 2863042 3806902 4499066 6717137 10555501 12474683 13324157 13434274 15746731 21111002 24744863 24949366 26648314 31493462 49489726 73888507 87322781 116110511 137221513 147777014 173214041 174645562 232221022 274443026 346428082 812773577 960550591 1509436643 1625547154 1921101182 3018873286 10566056501 21132113002