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2201314503102 = 23111319311434191
BaseRepresentation
bin100000000010001000100…
…100011010100110111110
321210102222101121012201120
4200002020210122212332
5242031243003044402
64403134145251410
7315016424355441
oct40021044324676
97712871535646
102201314503102
11779632715690
122b6767933b66
1312c776cc8920
1478789389658
153c3dba593bc
hex2008891a9be

2201314503102 has 128 divisors (see below), whose sum is σ = 5462065889280. Its totient is φ = 581467248000.

The previous prime is 2201314503097. The next prime is 2201314503107. The reversal of 2201314503102 is 2013054131022.

It is an interprime number because it is at equal distance from previous prime (2201314503097) and next prime (2201314503107).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201314503107) 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, 4852827 + ... + 5287017.

It is an arithmetic number, because the mean of its divisors is an integer number (42672389760).

Almost surely, 22201314503102 is an apocalyptic number.

2201314503102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2201314503102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731032944640).

2201314503102 is an abundant number, since it is smaller than the sum of its proper divisors (3260751386178).

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

2201314503102 is a wasteful number, since it uses less digits than its factorization.

2201314503102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434550.

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 2201314503102 its reverse (2013054131022), we get a palindrome (4214368634124).

The spelling of 2201314503102 in words is "two trillion, two hundred one billion, three hundred fourteen million, five hundred three thousand, one hundred two".

Divisors: 1 2 3 6 11 13 19 22 26 33 38 39 57 66 78 114 143 209 247 286 311 418 429 494 622 627 741 858 933 1254 1482 1866 2717 3421 4043 5434 5909 6842 8086 8151 10263 11818 12129 16302 17727 20526 24258 35454 44473 64999 76817 88946 129998 133419 153634 194997 230451 266838 389994 434191 460902 844987 868382 1302573 1689974 2534961 2605146 4776101 5069922 5644483 8249629 9552202 11288966 14328303 16499258 16933449 24748887 28656606 33866898 49497774 62089313 90745919 107245177 124178626 135033401 181491838 186267939 214490354 270066802 272237757 321735531 372535878 405100203 544475514 643471062 810200406 1179696947 1485367411 1755434213 2359393894 2565634619 2970734822 3510868426 3539090841 4456102233 5131269238 5266302639 7078181682 7696903857 8912204466 10532605278 15393807714 19309776343 28221980809 33353250047 38619552686 56443961618 57929329029 66706500094 84665942427 100059750141 115858658058 169331884854 200119500282 366885750517 733771501034 1100657251551 2201314503102