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2011001132432 = 243191919992207
BaseRepresentation
bin11101010000111001000…
…000100001010110010000
321010020202010102021121102
4131100321000201112100
5230422012242214212
64135501405243532
7265201324405325
oct35207100412620
97106663367542
102011001132432
11705951792476
122858b42635a8
131178377972a6
146d493976b4c
153749dbe25c2
hex1d439021590

2011001132432 has 80 divisors (see below), whose sum is σ = 4030218240000. Its totient is φ = 971079788160.

The previous prime is 2011001132431. The next prime is 2011001132447. The reversal of 2011001132432 is 2342311001102.

It is a super-4 number, since 4×20110011324324 (a number of 50 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (2011001132431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 911191073 + ... + 911193279.

It is an arithmetic number, because the mean of its divisors is an integer number (50377728000).

Almost surely, 22011001132432 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 2011001132432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015109120000).

2011001132432 is an abundant number, since it is smaller than the sum of its proper divisors (2019217107568).

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

2011001132432 is a wasteful number, since it uses less digits than its factorization.

2011001132432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5164 (or 5158 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 2011001132432 its reverse (2342311001102), we get a palindrome (4353312133534).

The spelling of 2011001132432 in words is "two trillion, eleven billion, one million, one hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 31 62 124 248 496 919 1838 1999 2207 3676 3998 4414 7352 7996 8828 14704 15992 17656 28489 31984 35312 56978 61969 68417 113956 123938 136834 227912 247876 273668 455824 495752 547336 991504 1094672 1837081 2028233 3674162 4056466 4411793 7348324 8112932 8823586 14696648 16225864 17647172 29393296 32451728 35294344 56949511 62875223 70588688 113899022 125750446 136765583 227798044 251500892 273531166 455596088 503001784 547062332 911192176 1006003568 1094124664 2188249328 4054437767 8108875534 16217751068 32435502136 64871004272 125687570777 251375141554 502750283108 1005500566216 2011001132432