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10242202414350 = 23522327110954813
BaseRepresentation
bin1001010100001011001011…
…0101100010110100001110
31100021010220200210201100010
42111002302311202310032
52320302012304224400
633441111451214050
72104655216035224
oct225026265426416
940233820721303
1010242202414350
11329976a281805
121195010a47326
13593ab28c54ba
14275a220c6b14
1512b6533e6450
hex950b2d62d0e

10242202414350 has 96 divisors (see below), whose sum is σ = 26602845594624. Its totient is φ = 2602863331200.

The previous prime is 10242202414309. The next prime is 10242202414363. The reversal of 10242202414350 is 5341420224201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4542457 + ... + 6412356.

It is an arithmetic number, because the mean of its divisors is an integer number (277112974944).

Almost surely, 210242202414350 is an apocalyptic number.

10242202414350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10242202414350 is an abundant number, since it is smaller than the sum of its proper divisors (16360643180274).

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

10242202414350 is a wasteful number, since it uses less digits than its factorization.

10242202414350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10955122 (or 10955117 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 10242202414350 its reverse (5341420224201), we get a palindrome (15583622638551).

The spelling of 10242202414350 in words is "ten trillion, two hundred forty-two billion, two hundred two million, four hundred fourteen thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 23 25 30 46 50 69 75 115 138 150 230 271 345 542 575 690 813 1150 1355 1626 1725 2710 3450 4065 6233 6775 8130 12466 13550 18699 20325 31165 37398 40650 62330 93495 155825 186990 311650 467475 934950 10954813 21909626 32864439 54774065 65728878 109548130 164322195 251960699 273870325 328644390 503921398 547740650 755882097 821610975 1259803495 1511764194 1643221950 2519606990 2968754323 3779410485 5937508646 6299017475 7558820970 8906262969 12598034950 14843771615 17812525938 18897052425 29687543230 37794104850 44531314845 68281349429 74218858075 89062629690 136562698858 148437716150 204844048287 222656574225 341406747145 409688096574 445313148450 682813494290 1024220241435 1707033735725 2048440482870 3414067471450 5121101207175 10242202414350