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21013000132122 = 23261148912852601
BaseRepresentation
bin1001100011100011110000…
…11010001001011000011010
32202101211020002221001211200
410301301320122021120122
510223234111013211442
6112405123342335030
74266065506045515
oct461617032113032
982354202831750
1021013000132122
116771621848679
12243456328a476
13b9569599943b
1452906b065d7c
152668e2a7834c
hex131c7868961a

21013000132122 has 48 divisors (see below), whose sum is σ = 46305611537640. Its totient is φ = 6884880768000.

The previous prime is 21013000132099. The next prime is 21013000132141. The reversal of 21013000132122 is 22123100031012.

21013000132122 is a `hidden beast` number, since 21 + 0 + 1 + 300 + 0 + 1 + 321 + 22 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8257237878681 + 12755762253441 = 2873541^2 + 3571521^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21013000132095 and 21013000132104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4791379 + ... + 8061222.

Almost surely, 221013000132122 is an apocalyptic number.

21013000132122 is an abundant number, since it is smaller than the sum of its proper divisors (25292611405518).

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

21013000132122 is a wasteful number, since it uses less digits than its factorization.

21013000132122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12854159 (or 12854156 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21013000132122 its reverse (22123100031012), we get a palindrome (43136100163134).

The spelling of 21013000132122 in words is "twenty-one trillion, thirteen billion, one hundred thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 61 122 183 366 549 1098 1489 2978 4467 8934 13401 26802 90829 181658 272487 544974 817461 1634922 12852601 25705202 38557803 77115606 115673409 231346818 784008661 1568017322 2352025983 4704051966 7056077949 14112155898 19137522889 38275045778 57412568667 114825137334 172237706001 344475412002 1167388896229 2334777792458 3502166688687 7004333377374 10506500066061 21013000132122