Search a number
-
+
10022020102110 = 23561122912893457
BaseRepresentation
bin1001000111010110111011…
…1100101011011111011110
31022111002120210221100012210
42101311232330223133132
52303200044121231420
633152015200141250
72053032000205602
oct221655674533736
938432523840183
1010022020102110
11321435108a715
12115a402307826
135790c31c8243
142690d5823502
15125a681e29e0
hex91d6ef2b7de

10022020102110 has 128 divisors (see below), whose sum is σ = 24493113590400. Its totient is φ = 2623790776320.

The previous prime is 10022020102109. The next prime is 10022020102141. The reversal of 10022020102110 is 1120102022001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2899049502 + ... + 2899052958.

It is an arithmetic number, because the mean of its divisors is an integer number (191352449925).

Almost surely, 210022020102110 is an apocalyptic number.

10022020102110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022020102110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12246556795200).

10022020102110 is an abundant number, since it is smaller than the sum of its proper divisors (14471093488290).

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

10022020102110 is a wasteful number, since it uses less digits than its factorization.

10022020102110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6046.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10022020102110 its reverse (1120102022001), we get a palindrome (11142122124111).

The spelling of 10022020102110 in words is "ten trillion, twenty-two billion, twenty million, one hundred two thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 61 122 183 305 366 610 915 1229 1289 1830 2458 2578 3457 3687 3867 6145 6445 6914 7374 7734 10371 12290 12890 17285 18435 19335 20742 34570 36870 38670 51855 74969 78629 103710 149938 157258 210877 224907 235887 374845 393145 421754 449814 471774 632631 749690 786290 1054385 1124535 1179435 1265262 1584181 2108770 2249070 2358870 3163155 3168362 4248653 4456073 4752543 6326310 7920905 8497306 8912146 9505086 12745959 13368219 15841810 21243265 22280365 23762715 25491918 26736438 42486530 44560730 47525430 63729795 66841095 96635041 127459590 133682190 193270082 259167833 271820453 289905123 483175205 518335666 543640906 579810246 777503499 815461359 966350410 1295839165 1359102265 1449525615 1555006998 1630922718 2591678330 2718204530 2899051230 3887517495 4077306795 5476513717 7775034990 8154613590 10953027434 16429541151 27382568585 32859082302 54765137170 82147705755 164295411510 334067336737 668134673474 1002202010211 1670336683685 2004404020422 3340673367370 5011010051055 10022020102110