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10031141124 = 223219120112211
BaseRepresentation
bin10010101011110011…
…10001000100000100
3221220002100202201100
421111321301010010
5131020433003444
64335214100100
7503403202254
oct112571610404
927802322640
1010031141124
114288354884
121b3b4aa630
13c3b2a1984
146b234b964
153da9aee69
hex255e71104

10031141124 has 72 divisors (see below), whose sum is σ = 26715459680. Its totient is φ = 3164832000.

The previous prime is 10031141117. The next prime is 10031141147. The reversal of 10031141124 is 42114113001.

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

It is a junction number, because it is equal to n+sod(n) for n = 10031141097 and 10031141106.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 815379 + ... + 827589.

Almost surely, 210031141124 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 10031141124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13357729840).

10031141124 is an abundant number, since it is smaller than the sum of its proper divisors (16684318556).

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

10031141124 is a wasteful number, since it uses less digits than its factorization.

10031141124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13441 (or 13436 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10031141124 its reverse (42114113001), we get a palindrome (52145254125).

The spelling of 10031141124 in words is "ten billion, thirty-one million, one hundred forty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 1201 2402 3603 4804 7206 10809 12211 14412 21618 22819 24422 36633 43236 45638 48844 68457 73266 91276 109899 136914 146532 205371 219798 232009 273828 410742 439596 464018 696027 821484 928036 1392054 2088081 2784108 4176162 8352324 14665411 29330822 43996233 58661644 87992466 131988699 175984932 263977398 278642809 527954796 557285618 835928427 1114571236 1671856854 2507785281 3343713708 5015570562 10031141124