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10220212312232 = 2313673146019721
BaseRepresentation
bin1001010010111001010000…
…0111111101100010101000
31100012001011011112210012112
42110232110013331202220
52314421443322442412
633423033431101452
72103246250202306
oct224562407754250
940161134483175
1010220212312232
11329040545659a
1211908b4511888
135919b9b2a760
142749377a1276
1512acb7ac0722
hex94b941fd8a8

10220212312232 has 32 divisors (see below), whose sum is σ = 20667631451880. Its totient is φ = 4710012088320.

The previous prime is 10220212312187. The next prime is 10220212312237. The reversal of 10220212312232 is 23221321202201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3493482475396 + 6726729836836 = 1869086^2 + 2593594^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10220212312198 and 10220212312207.

It is not an unprimeable number, because it can be changed into a prime (10220212312237) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72939869 + ... + 73079852.

Almost surely, 210220212312232 is an apocalyptic number.

It is an amenable number.

10220212312232 is an abundant number, since it is smaller than the sum of its proper divisors (10447419139648).

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

10220212312232 is a wasteful number, since it uses less digits than its factorization.

10220212312232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146020413 (or 146020409 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 10220212312232 its reverse (23221321202201), we get a palindrome (33441533514433).

The spelling of 10220212312232 in words is "ten trillion, two hundred twenty billion, two hundred twelve million, three hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 104 673 1346 2692 5384 8749 17498 34996 69992 146019721 292039442 584078884 1168157768 1898256373 3796512746 7593025492 15186050984 98271272233 196542544466 393085088932 786170177864 1277526539029 2555053078058 5110106156116 10220212312232