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20101553340 = 223511223120383
BaseRepresentation
bin10010101110001001…
…010101110010111100
31220212220121201020120
4102232021111302330
5312131444201330
613122354014540
71311064245531
oct225611256274
956786551216
1020101553340
118585891600
123a8bb77450
131b8474347b
14d8999cd88
157c9b2ac10
hex4ae255cbc

20101553340 has 144 divisors (see below), whose sum is σ = 64556642304. Its totient is φ = 4661191040.

The previous prime is 20101553333. The next prime is 20101553347. The reversal of 20101553340 is 4335510102.

It is an interprime number because it is at equal distance from previous prime (20101553333) and next prime (20101553347).

It is a self number, because there is not a number n which added to its sum of digits gives 20101553340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101553347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106789 + ... + 227171.

It is an arithmetic number, because the mean of its divisors is an integer number (448310016).

Almost surely, 220101553340 is an apocalyptic number.

20101553340 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 20101553340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32278321152).

20101553340 is an abundant number, since it is smaller than the sum of its proper divisors (44455088964).

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

20101553340 is a wasteful number, since it uses less digits than its factorization.

20101553340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120440 (or 120427 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The spelling of 20101553340 in words is "twenty billion, one hundred one million, five hundred fifty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 30 33 44 46 55 60 66 69 92 110 115 121 132 138 165 220 230 242 253 276 330 345 363 460 484 506 605 660 690 726 759 1012 1210 1265 1380 1452 1518 1815 2420 2530 2783 3036 3630 3795 5060 5566 7260 7590 8349 11132 13915 15180 16698 27830 33396 41745 55660 83490 120383 166980 240766 361149 481532 601915 722298 1203830 1324213 1444596 1805745 2407660 2648426 2768809 3611490 3972639 5296852 5537618 6621065 7222980 7945278 8306427 11075236 13242130 13844045 14566343 15890556 16612854 19863195 26484260 27688090 29132686 30456899 33225708 39726390 41532135 43699029 55376180 58265372 60913798 72831715 79452780 83064270 87398058 91370697 121827596 145663430 152284495 166128540 174796116 182741394 218495145 291326860 304568990 335025889 365482788 436990290 456853485 609137980 670051778 873980580 913706970 1005077667 1340103556 1675129445 1827413940 2010155334 3350258890 4020310668 5025388335 6700517780 10050776670 20101553340