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21233133102340 = 22510929741327493
BaseRepresentation
bin1001101001111101110010…
…10110110010010100000100
32210011212102112221121102201
410310332321112302110010
510240340424033233330
6113054211112044244
74321020555320635
oct464767126622404
983155375847381
1021233133102340
116846a150a9335
12246b159393684
13bb03780ab933
14535990d6388c
1526c4c8781eca
hex134fb95b2504

21233133102340 has 48 divisors (see below), whose sum is σ = 45000308651760. Its totient is φ = 8415024837120.

The previous prime is 21233133102319. The next prime is 21233133102403. The reversal of 21233133102340 is 4320133133212.

It can be written as a sum of positive squares in 8 ways, for example, as 3577068646596 + 17656064455744 = 1891314^2 + 4201912^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21233133102299 and 21233133102308.

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, 64671634 + ... + 64999126.

It is an arithmetic number, because the mean of its divisors is an integer number (937506430245).

Almost surely, 221233133102340 is an apocalyptic number.

21233133102340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21233133102340 is an abundant number, since it is smaller than the sum of its proper divisors (23767175549420).

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

21233133102340 is a wasteful number, since it uses less digits than its factorization.

21233133102340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357352 (or 357350 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 21233133102340 its reverse (4320133133212), we get a palindrome (25553266235552).

The spelling of 21233133102340 in words is "twenty-one trillion, two hundred thirty-three billion, one hundred thirty-three million, one hundred two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 109 218 436 545 1090 2180 29741 59482 118964 148705 297410 327493 594820 654986 1309972 1637465 3241769 3274930 6483538 6549860 12967076 16208845 32417690 35696737 64835380 71393474 142786948 178483685 356967370 713934740 9739969313 19479938626 38959877252 48699846565 97399693130 194799386260 1061656655117 2123313310234 4246626620468 5308283275585 10616566551170 21233133102340