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2211110202112 = 28731268714813
BaseRepresentation
bin100000001011010000011…
…100000010101100000000
321211101021001221021120121
4200023100130002230000
5242211323202431422
64411434153150024
7315514241420620
oct40132034025400
97741231837517
102211110202112
117827aa07a2a9
122b86403bb314
13130678584226
147903832a880
153c7b1a0d8c7
hex202d0702b00

2211110202112 has 144 divisors (see below), whose sum is σ = 5209097306112. Its totient is φ = 916647137280.

The previous prime is 2211110202083. The next prime is 2211110202127. The reversal of 2211110202112 is 2112020111122.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 149260818 + ... + 149275630.

It is an arithmetic number, because the mean of its divisors is an integer number (36174286848).

Almost surely, 22211110202112 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 2211110202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2604548653056).

2211110202112 is an abundant number, since it is smaller than the sum of its proper divisors (2997987104000).

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

2211110202112 is a wasteful number, since it uses less digits than its factorization.

2211110202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17554 (or 17540 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2211110202112 its reverse (2112020111122), we get a palindrome (4323130313234).

The spelling of 2211110202112 in words is "two trillion, two hundred eleven billion, one hundred ten million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 256 434 448 496 868 896 992 1736 1792 1984 2687 3472 3968 5374 6944 7936 10748 13888 14813 18809 21496 27776 29626 37618 42992 55552 59252 75236 83297 85984 103691 118504 150472 166594 171968 207382 237008 300944 333188 343936 414764 459203 474016 583079 601888 666376 687872 829528 918406 948032 1166158 1203776 1332752 1659056 1836812 1896064 2332316 2407552 2665504 3214421 3318112 3673624 3792128 4664632 4815104 5331008 6428842 6636224 7347248 9329264 10662016 12857684 13272448 14694496 18658528 21324032 25715368 26544896 29388992 37317056 39802531 51430736 58777984 74634112 79605062 102861472 117555968 149268224 159210124 205722944 278617717 318420248 411445888 557235434 636840496 822891776 1114470868 1233878461 1273680992 2228941736 2467756922 2547361984 4457883472 4935513844 5094723968 8637149227 8915766944 9871027688 10189447936 17274298454 17831533888 19742055376 34548596908 35663067776 39484110752 69097193816 71326135552 78968221504 138194387632 157936443008 276388775264 315872886016 552777550528 1105555101056 2211110202112