Search a number
-
+
100111001010000 = 2435437642714033
BaseRepresentation
bin10110110000110011101000…
…101001110011111101010000
3111010110111222210022002020020
4112300303220221303331100
5101110204312224310000
6552530205311343440
730041531634151221
oct2660635051637520
9433414883262206
10100111001010000
11299979231aa982
12b28a223821b80
1343b2571b44956
141aa1580d27248
15b891b46e7ba0
hex5b0ce8a73f50

100111001010000 has 400 divisors, whose sum is σ = 331981326519744. Its totient is φ = 25968854016000.

The previous prime is 100111001009959. The next prime is 100111001010077. The reversal of 100111001010000 is 10100111001.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7133962984 + ... + 7133977016.

Almost surely, 2100111001010000 is an apocalyptic number.

100111001010000 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 100111001010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165990663259872).

100111001010000 is an abundant number, since it is smaller than the sum of its proper divisors (231870325509744).

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

100111001010000 is a wasteful number, since it uses less digits than its factorization.

100111001010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20528 (or 20507 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100111001010000 its reverse (10100111001), we get a palindrome (100121101121001).

The spelling of 100111001010000 in words is "one hundred trillion, one hundred eleven billion, one million, ten thousand".