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10201000010436 = 22328231217282911
BaseRepresentation
bin1001010001110001101011…
…1110110110001011000100
31100010012120020012201202100
42110130122332312023010
52314113122000313221
633410135200512100
72101666201264524
oct224343276661304
940105506181670
1010201000010436
113283246625924
12118903231b630
1358cc476b9541
14273a33d61684
1512a54109b926
hex9471afb62c4

10201000010436 has 72 divisors (see below), whose sum is σ = 25838497810944. Its totient is φ = 3393399075840.

The previous prime is 10201000010413. The next prime is 10201000010437. The reversal of 10201000010436 is 63401000010201.

It is a happy number.

10201000010436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10201000010437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35915821 + ... + 36198731.

It is an arithmetic number, because the mean of its divisors is an integer number (358868025152).

Almost surely, 210201000010436 is an apocalyptic number.

It is an amenable number.

10201000010436 is an abundant number, since it is smaller than the sum of its proper divisors (15637497800508).

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

10201000010436 is a wasteful number, since it uses less digits than its factorization.

10201000010436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284961 (or 284956 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10201000010436 its reverse (63401000010201), we get a palindrome (73602000020637).

The spelling of 10201000010436 in words is "ten trillion, two hundred one billion, ten thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 823 1217 1646 2434 2469 3292 3651 4868 4938 7302 7407 9876 10953 14604 14814 21906 29628 43812 282911 565822 848733 1001591 1131644 1697466 2003182 2546199 3004773 3394932 4006364 5092398 6009546 9014319 10184796 12019092 18028638 36057276 232835753 344302687 465671506 688605374 698507259 931343012 1032908061 1377210748 1397014518 2065816122 2095521777 2794029036 3098724183 4131632244 4191043554 6197448366 8382087108 12394896732 283361111401 566722222802 850083334203 1133444445604 1700166668406 2550250002609 3400333336812 5100500005218 10201000010436