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1123000421400 = 23335211138591693
BaseRepresentation
bin10000010101111000000…
…010101000110000011000
310222100122211102020101000
4100111320002220300120
5121344401101441100
62215522124225000
7144063666040464
oct20257002506030
93870584366330
101123000421400
113a3297509020
1216178a69b160
1381b8ac84190
143c4d40654a4
151e329d45900
hex105780a8c18

1123000421400 has 768 divisors, whose sum is σ = 4552333632000. Its totient is φ = 250859980800.

The previous prime is 1123000421399. The next prime is 1123000421449. The reversal of 1123000421400 is 41240003211.

1123000421400 is a `hidden beast` number, since 11 + 230 + 0 + 0 + 4 + 21 + 400 = 666.

It is a super-2 number, since 2×11230004214002 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 663318954 + ... + 663320646.

It is an arithmetic number, because the mean of its divisors is an integer number (5927517750).

Almost surely, 21123000421400 is an apocalyptic number.

1123000421400 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 1123000421400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2276166816000).

1123000421400 is an abundant number, since it is smaller than the sum of its proper divisors (3429333210600).

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

1123000421400 is a wasteful number, since it uses less digits than its factorization.

1123000421400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2601 (or 2586 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1123000421400 its reverse (41240003211), we get a palindrome (1164240424611).

The spelling of 1123000421400 in words is "one trillion, one hundred twenty-three billion, four hundred twenty-one thousand, four hundred".