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20122010440 = 23573719110169
BaseRepresentation
bin10010101111010111…
…011000001101001000
31220221100010001002221
4102233113120031020
5312202213313230
613124404303424
71311433160320
oct225727301510
956840101087
1020122010440
1185963942a4
123a969a1b74
131b88a5696c
14d8c5a6280
157cb81c27a
hex4af5d8348

20122010440 has 128 divisors (see below), whose sum is σ = 53424230400. Its totient is φ = 6676715520.

The previous prime is 20122010413. The next prime is 20122010443. The reversal of 20122010440 is 4401022102.

It is not an unprimeable number, because it can be changed into a prime (20122010443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1973676 + ... + 1983844.

It is an arithmetic number, because the mean of its divisors is an integer number (417376800).

Almost surely, 220122010440 is an apocalyptic number.

20122010440 is a gapful number since it is divisible by the number (20) 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 20122010440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26712115200).

20122010440 is an abundant number, since it is smaller than the sum of its proper divisors (33302219960).

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

20122010440 is a wasteful number, since it uses less digits than its factorization.

20122010440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10415 (or 10411 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 20122010440 its reverse (4401022102), we get a palindrome (24523032542).

The spelling of 20122010440 in words is "twenty billion, one hundred twenty-two million, ten thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 56 70 74 140 148 185 191 259 280 296 370 382 518 740 764 955 1036 1295 1337 1480 1528 1910 2072 2590 2674 3820 5180 5348 6685 7067 7640 10169 10360 10696 13370 14134 20338 26740 28268 35335 40676 49469 50845 53480 56536 70670 71183 81352 98938 101690 141340 142366 197876 203380 247345 282680 284732 355915 376253 395752 406760 494690 569464 711830 752506 989380 1423660 1505012 1881265 1942279 1978760 2633771 2847320 3010024 3762530 3884558 5267542 7525060 7769116 9711395 10535084 13168855 13595953 15050120 15538232 19422790 21070168 26337710 27191906 38845580 52675420 54383812 67979765 71864323 77691160 105350840 108767624 135959530 143728646 271919060 287457292 359321615 503050261 543838120 574914584 718643230 1006100522 1437286460 2012201044 2515251305 2874572920 4024402088 5030502610 10061005220 20122010440