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10132211213320 = 235725169495517
BaseRepresentation
bin1001001101110001011011…
…0110011010010000001000
31022212122000012221202212211
42103130112312122100020
52312001232032311240
633314401254114504
72064012432202600
oct223342666322010
938778005852784
1010132211213320
1132570570a1479
12117783504ba34
135866041895b1
1427058a153c00
15128866e8abea
hex93716d9a408

10132211213320 has 48 divisors (see below), whose sum is σ = 26519512007340. Its totient is φ = 3473900986752.

The previous prime is 10132211213261. The next prime is 10132211213339. The reversal of 10132211213320 is 2331211223101.

It can be written as a sum of positive squares in 2 ways, for example, as 10094434626276 + 37776587044 = 3177174^2 + 194362^2 .

It is a super-3 number, since 3×101322112133203 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10132211213291 and 10132211213300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2584745799 + ... + 2584749718.

Almost surely, 210132211213320 is an apocalyptic number.

10132211213320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132211213320 is an abundant number, since it is smaller than the sum of its proper divisors (16387300794020).

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

10132211213320 is a wasteful number, since it uses less digits than its factorization.

10132211213320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5169495542 (or 5169495531 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 10132211213320 its reverse (2331211223101), we get a palindrome (12463422436421).

The spelling of 10132211213320 in words is "ten trillion, one hundred thirty-two billion, two hundred eleven million, two hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 5169495517 10338991034 20677982068 25847477585 36186468619 41355964136 51694955170 72372937238 103389910340 144745874476 180932343095 206779820680 253305280333 289491748952 361864686190 506610560666 723729372380 1013221121332 1266526401665 1447458744760 2026442242664 2533052803330 5066105606660 10132211213320