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21223100032212 = 22313594215477093
BaseRepresentation
bin1001101001101011000110…
…10101101010010011010100
32210010220112022221211121210
410310311203111222103110
510240204402102012322
6113045431344341420
74320214126532421
oct464654325522324
983126468854553
1021223100032212
116842736757241
122469219314870
13bac4395b2c50
145352bc672d48
1526c0dca4070c
hex134d6356a4d4

21223100032212 has 96 divisors (see below), whose sum is σ = 54362567871360. Its totient is φ = 6404254133760.

The previous prime is 21223100032163. The next prime is 21223100032213. The reversal of 21223100032212 is 21223000132212.

It is a super-2 number, since 2×212231000322122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21223100032213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1136338 + ... + 6613430.

It is an arithmetic number, because the mean of its divisors is an integer number (566276748660).

Almost surely, 221223100032212 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 21223100032212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27181283935680).

21223100032212 is an abundant number, since it is smaller than the sum of its proper divisors (33139467839148).

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

21223100032212 is a wasteful number, since it uses less digits than its factorization.

21223100032212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5477593 (or 5477591 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 21223100032212 its reverse (21223000132212), we get a palindrome (42446100164424).

The spelling of 21223100032212 in words is "twenty-one trillion, two hundred twenty-three billion, one hundred million, thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 59 78 118 156 177 236 354 421 708 767 842 1263 1534 1684 2301 2526 3068 4602 5052 5473 9204 10946 16419 21892 24839 32838 49678 65676 74517 99356 149034 298068 322907 645814 968721 1291628 1937442 3874884 5477093 10954186 16431279 21908372 32862558 65725116 71202209 142404418 213606627 284808836 323148487 427213254 646296974 854426508 969445461 1292593948 1938890922 2305856153 3877781844 4200930331 4611712306 6917568459 8401860662 9223424612 12602790993 13835136918 16803721324 25205581986 27670273836 29976129989 50411163972 59952259978 89928389967 119904519956 136045513027 179856779934 272091026054 359713559868 408136539081 544182052108 816273078162 1632546156324 1768591669351 3537183338702 5305775008053 7074366677404 10611550016106 21223100032212