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10240331201034 = 23111276012032787
BaseRepresentation
bin1001010100000100001101…
…0011011011101000001010
31100020222002021210020020020
42111001003103123220022
52320234144241413114
633440202044441310
72104560645011634
oct225010323335012
940228067706206
1010240331201034
113298999aa8520
12119478a249236
1359387503059c
142758c5793a54
1512b593ec2aa9
hex950434dba0a

10240331201034 has 64 divisors (see below), whose sum is σ = 22555945746432. Its totient is φ = 3073572432000.

The previous prime is 10240331201021. The next prime is 10240331201039. The reversal of 10240331201034 is 43010213304201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10240331200995 and 10240331201013.

It is not an unprimeable number, because it can be changed into a prime (10240331201039) 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, 4021189 + ... + 6053975.

It is an arithmetic number, because the mean of its divisors is an integer number (352436652288).

Almost surely, 210240331201034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10240331201034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11277972873216).

10240331201034 is an abundant number, since it is smaller than the sum of its proper divisors (12315614545398).

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

10240331201034 is a wasteful number, since it uses less digits than its factorization.

10240331201034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2033531.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10240331201034 its reverse (43010213304201), we get a palindrome (53250544505235).

The spelling of 10240331201034 in words is "ten trillion, two hundred forty billion, three hundred thirty-one million, two hundred one thousand, thirty-four".

Divisors: 1 2 3 6 11 22 33 66 127 254 381 601 762 1202 1397 1803 2794 3606 4191 6611 8382 13222 19833 39666 76327 152654 228981 457962 839597 1679194 2032787 2518791 4065574 5037582 6098361 12196722 22360657 44721314 67081971 134163942 258163949 516327898 774491847 1221704987 1548983694 2443409974 2839803439 3665114961 5679606878 7330229922 8519410317 13438754857 17038820634 26877509714 40316264571 80632529142 155156533349 310313066698 465469600047 930939200094 1706721866839 3413443733678 5120165600517 10240331201034