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10130022322220 = 22523313671935641
BaseRepresentation
bin1001001101101001010001…
…1000011101000000101100
31022212102100200011120210002
42103122110120131000230
52311432241203302340
633313400142403432
72063604253012103
oct223322430350054
938772320146702
1010130022322220
11325613356a169
121177323b90578
13586345847468
1427041d56903a
15128789c15715
hex9369461d02c

10130022322220 has 96 divisors (see below), whose sum is σ = 22976473153536. Its totient is φ = 3740585587200.

The previous prime is 10130022322201. The next prime is 10130022322241. The reversal of 10130022322220 is 2222322003101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10130022322192 and 10130022322201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4265600 + ... + 6201240.

It is an arithmetic number, because the mean of its divisors is an integer number (239338262016).

Almost surely, 210130022322220 is an apocalyptic number.

10130022322220 is a gapful number since it is divisible by the number (10) 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 10130022322220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11488236576768).

10130022322220 is an abundant number, since it is smaller than the sum of its proper divisors (12846450831316).

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

10130022322220 is a wasteful number, since it uses less digits than its factorization.

10130022322220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1936071 (or 1936069 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10130022322220 its reverse (2222322003101), we get a palindrome (12352344325321).

The spelling of 10130022322220 in words is "ten trillion, one hundred thirty billion, twenty-two million, three hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 31 46 62 92 115 124 155 230 310 367 460 620 713 734 1426 1468 1835 2852 3565 3670 7130 7340 8441 11377 14260 16882 22754 33764 42205 45508 56885 84410 113770 168820 227540 261671 523342 1046684 1308355 1935641 2616710 3871282 5233420 7742564 9678205 19356410 38712820 44519743 60004871 89039486 120009742 178078972 222598715 240019484 300024355 445197430 600048710 710380247 890394860 1200097420 1380112033 1420760494 2760224066 2841520988 3551901235 5520448132 6900560165 7103802470 13801120330 14207604940 16338745681 22021787657 27602240660 32677491362 44043575314 65354982724 81693728405 88087150628 110108938285 163387456810 220217876570 326774913620 440435753140 506501116111 1013002232222 2026004464444 2532505580555 5065011161110 10130022322220