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20110129998 = 23767101173409
BaseRepresentation
bin10010101110101010…
…000011101101001110
31220220111202110012120
4102232222003231032
5312141143124443
613123301513410
71311230166420
oct225652035516
956814673176
1020110129998
11858a70a352
123a92a12866
131b8645720a
14d8ab92810
157ca772083
hex4aea83b4e

20110129998 has 128 divisors (see below), whose sum is σ = 47502167040. Its totient is φ = 5557939200.

The previous prime is 20110129997. The next prime is 20110130021. The reversal of 20110129998 is 89992101102.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20110129993) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49168818 + ... + 49169226.

It is an arithmetic number, because the mean of its divisors is an integer number (371110680).

Almost surely, 220110129998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20110129998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23751083520).

20110129998 is an abundant number, since it is smaller than the sum of its proper divisors (27392037042).

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

20110129998 is a wasteful number, since it uses less digits than its factorization.

20110129998 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762.

The product of its (nonzero) digits is 23328, while the sum is 42.

The spelling of 20110129998 in words is "twenty billion, one hundred ten million, one hundred twenty-nine thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 7 14 21 42 67 101 134 173 201 202 303 346 402 409 469 519 606 707 818 938 1038 1211 1227 1407 1414 2121 2422 2454 2814 2863 3633 4242 5726 6767 7266 8589 11591 13534 17178 17473 20301 23182 27403 34773 34946 40602 41309 47369 52419 54806 69546 70757 81137 82209 82618 94738 104838 122311 123927 141514 142107 162274 164418 191821 212271 243411 244622 247854 284214 289163 366933 383642 424542 486822 495299 575463 578326 733866 867489 990598 1150926 1170691 1485897 1734978 2341382 2767703 2971794 3512073 4740719 5535406 7024146 7146457 8194837 8303109 9481438 14222157 14292914 16389674 16606218 19373921 21439371 24584511 28444314 33185033 38747842 42878742 49169022 50025199 58121763 66370066 99555099 100050398 116243526 150075597 199110198 300151194 478812619 957625238 1436437857 2872875714 3351688333 6703376666 10055064999 20110129998