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1011243033040 = 245611699121967
BaseRepresentation
bin11101011011100101100…
…10000010000111010000
310120200012021011200101011
432231302302002013100
5113032011204024130
62052320355420304
7133026354646012
oct16556262020720
93520167150334
101011243033040
1135a958369039
12143b9b2b4694
137448a666706
1436d316dc1b2
151b48881052a
hexeb72c821d0

1011243033040 has 80 divisors (see below), whose sum is σ = 2391109459200. Its totient is φ = 397628674560.

The previous prime is 1011243032939. The next prime is 1011243033067. The reversal of 1011243033040 is 403303421101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10112430330402 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8230137 + ... + 8352103.

It is an arithmetic number, because the mean of its divisors is an integer number (29888868240).

Almost surely, 21011243033040 is an apocalyptic number.

1011243033040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011243033040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195554729600).

1011243033040 is an abundant number, since it is smaller than the sum of its proper divisors (1379866426160).

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

1011243033040 is a wasteful number, since it uses less digits than its factorization.

1011243033040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123740 (or 123734 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 1011243033040 its reverse (403303421101), we get a palindrome (1414546454141).

The spelling of 1011243033040 in words is "one trillion, eleven billion, two hundred forty-three million, thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 1699 2440 3398 4880 6796 8495 13592 16990 27184 33980 67960 103639 121967 135920 207278 243934 414556 487868 518195 609835 829112 975736 1036390 1219670 1658224 1951472 2072780 2439340 4145560 4878680 7439987 8291120 9757360 14879974 29759948 37199935 59519896 74399870 119039792 148799740 207221933 297599480 414443866 595198960 828887732 1036109665 1657775464 2072219330 3315550928 4144438660 8288877320 12640537913 16577754640 25281075826 50562151652 63202689565 101124303304 126405379130 202248606608 252810758260 505621516520 1011243033040