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21233210010020 = 22515710837623989
BaseRepresentation
bin1001101001111101111011…
…11100001010100110100100
32210011212121220122220221022
410310332331330022212210
510240341103230310040
6113054222500310312
74321022511114401
oct464767574124644
983155556586838
1021233210010020
116846a545581a8
12246b17b0a2398
13bb038acc8638
1453599b2632a8
1526c4d03c46b5
hex134fbdf0a9a4

21233210010020 has 48 divisors (see below), whose sum is σ = 44877964822320. Its totient is φ = 8438394392064.

The previous prime is 21233210009989. The next prime is 21233210010053. The reversal of 21233210010020 is 2001001233212.

It can be written as a sum of positive squares in 8 ways, for example, as 8974290386944 + 12258919623076 = 2995712^2 + 3501274^2 .

It is a super-2 number, since 2×212332100100202 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33716186 + ... + 34340174.

It is an arithmetic number, because the mean of its divisors is an integer number (934957600465).

Almost surely, 221233210010020 is an apocalyptic number.

21233210010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21233210010020 is an abundant number, since it is smaller than the sum of its proper divisors (23644754812300).

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

21233210010020 is a wasteful number, since it uses less digits than its factorization.

21233210010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634992 (or 634990 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 21233210010020 its reverse (2001001233212), we get a palindrome (23234211243232).

The spelling of 21233210010020 in words is "twenty-one trillion, two hundred thirty-three billion, two hundred ten million, ten thousand, twenty".

Divisors: 1 2 4 5 10 20 157 314 628 785 1570 3140 10837 21674 43348 54185 108370 216740 623989 1247978 1701409 2495956 3119945 3402818 6239890 6805636 8507045 12479780 17014090 34028180 97966273 195932546 391865092 489831365 979662730 1959325460 6762168793 13524337586 27048675172 33810843965 67621687930 135243375860 1061660500501 2123321001002 4246642002004 5308302502505 10616605005010 21233210010020