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21353341240 = 23571113949877
BaseRepresentation
bin10011111000110000…
…100010000100111000
32001010011002010102101
4103320300202010320
5322212423404430
613450512113144
71354104256120
oct237060420470
961104063371
1021353341240
11906844a360
12417b2357b4
132023b9aa7a
141067d2dc80
1584e995dca
hex4f8c22138

21353341240 has 128 divisors (see below), whose sum is σ = 60332428800. Its totient is φ = 6607572480.

The previous prime is 21353341237. The next prime is 21353341253. The reversal of 21353341240 is 4214335312.

It is a happy number.

It is a super-2 number, since 2×213533412402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 21353341199 and 21353341208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 403182 + ... + 453058.

It is an arithmetic number, because the mean of its divisors is an integer number (471347100).

Almost surely, 221353341240 is an apocalyptic number.

21353341240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21353341240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30166214400).

21353341240 is an abundant number, since it is smaller than the sum of its proper divisors (38979087560).

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

21353341240 is a wasteful number, since it uses less digits than its factorization.

21353341240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50045 (or 50041 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 21353341240 its reverse (4214335312), we get a palindrome (25567676552).

The spelling of 21353341240 in words is "twenty-one billion, three hundred fifty-three million, three hundred forty-one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 139 140 154 220 278 280 308 385 440 556 616 695 770 973 1112 1390 1529 1540 1946 2780 3058 3080 3892 4865 5560 6116 7645 7784 9730 10703 12232 15290 19460 21406 30580 38920 42812 49877 53515 61160 85624 99754 107030 199508 214060 249385 349139 399016 428120 498770 548647 698278 997540 1097294 1396556 1745695 1995080 2194588 2743235 2793112 3491390 3840529 4389176 5486470 6932903 6982780 7681058 10972940 13865806 13965560 15362116 19202645 21945880 27731612 30724232 34664515 38405290 48530321 55463224 69329030 76261933 76810580 97060642 138658060 152523866 153621160 194121284 242651605 277316120 305047732 381309665 388242568 485303210 533833531 610095464 762619330 970606420 1067667062 1525238660 1941212840 2135334124 2669167655 3050477320 4270668248 5338335310 10676670620 21353341240