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10000242312324 = 223113714391422899
BaseRepresentation
bin1001000110000101110011…
…1001000000010010000100
31022102000101002011222211220
42101201130321000102010
52302320444012443244
633134014202400340
72051331220100235
oct221413471002204
938360332158756
1010000242312324
113206096096940
121156144b000b0
135770324089b4
1426802b3a708c
151251e1359319
hex9185ce40484

10000242312324 has 96 divisors (see below), whose sum is σ = 26161325568000. Its totient is φ = 2946423346560.

The previous prime is 10000242312323. The next prime is 10000242312349. The reversal of 10000242312324 is 42321324200001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10000242312294 and 10000242312303.

It is not an unprimeable number, because it can be changed into a prime (10000242312323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6316627 + ... + 7739525.

It is an arithmetic number, because the mean of its divisors is an integer number (272513808000).

Almost surely, 210000242312324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10000242312324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13080662784000).

10000242312324 is an abundant number, since it is smaller than the sum of its proper divisors (16161083255676).

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

10000242312324 is a wasteful number, since it uses less digits than its factorization.

10000242312324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424393 (or 1424391 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10000242312324 its reverse (42321324200001), we get a palindrome (52321566512325).

The spelling of 10000242312324 in words is "ten trillion, two hundred forty-two million, three hundred twelve thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1439 1628 2442 2878 4317 4884 5756 8634 15829 17268 31658 47487 53243 63316 94974 106486 159729 189948 212972 319458 585673 638916 1171346 1422899 1757019 2342692 2845798 3514038 4268697 5691596 7028076 8537394 15651889 17074788 31303778 46955667 52647263 62607556 93911334 105294526 157941789 187822668 210589052 315883578 579119893 631767156 1158239786 1737359679 2047551661 2316479572 3474719358 4095103322 6142654983 6949438716 8190206644 12285309966 22523068271 24570619932 45046136542 67569204813 75759411457 90092273084 135138409626 151518822914 227278234371 270276819252 303037645828 454556468742 833353526027 909112937484 1666707052054 2500060578081 3333414104108 5000121156162 10000242312324