Search a number
-
+
1023211144956 = 22371113611396433
BaseRepresentation
bin11101110001111000010…
…00110000011011111100
310121211002100021202111110
432320330020300123330
5113231014023114311
62102020125522020
7133632061141410
oct16707410603374
93554070252443
101023211144956
11364a3a01a720
1214637b413310
1375647014a40
1437748db8d40
151b9393828a6
hexee3c2306fc

1023211144956 has 192 divisors, whose sum is σ = 3258137465856. Its totient is φ = 241303449600.

The previous prime is 1023211144939. The next prime is 1023211144981. The reversal of 1023211144956 is 6594411123201.

It is a super-2 number, since 2×10232111449562 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34516 + ... + 1430948.

It is an arithmetic number, because the mean of its divisors is an integer number (16969465968).

Almost surely, 21023211144956 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 1023211144956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629068732928).

1023211144956 is an abundant number, since it is smaller than the sum of its proper divisors (2234926320900).

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

1023211144956 is a wasteful number, since it uses less digits than its factorization.

1023211144956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396532 (or 1396530 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 1023211144956 in words is "one trillion, twenty-three billion, two hundred eleven million, one hundred forty-four thousand, nine hundred fifty-six".