Search a number
-
+
11020102201110 = 2353767758319541
BaseRepresentation
bin1010000001011101000101…
…0001101110111100010110
31110000111210212111022010110
42200113101101232330112
52421023132130413420
635234322015303450
72215114256110542
oct240272121567426
943014725438113
1011020102201110
113569665443162
12129b929b1ab86
1361c264033302
142a1539262a22
151419d13b1ee0
hexa05d146ef16

11020102201110 has 128 divisors (see below), whose sum is σ = 27573528121344. Its totient is φ = 2816078538240.

The previous prime is 11020102201067. The next prime is 11020102201127. The reversal of 11020102201110 is 1110220102011.

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, 563937940 + ... + 563957480.

It is an arithmetic number, because the mean of its divisors is an integer number (215418188448).

Almost surely, 211020102201110 is an apocalyptic number.

11020102201110 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 11020102201110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13786764060672).

11020102201110 is an abundant number, since it is smaller than the sum of its proper divisors (16553425920234).

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

11020102201110 is a wasteful number, since it uses less digits than its factorization.

11020102201110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27238.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11020102201110 its reverse (1110220102011), we get a palindrome (12130322303121).

The spelling of 11020102201110 in words is "eleven trillion, twenty billion, one hundred two million, two hundred one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 67 74 111 134 185 201 222 335 370 402 555 670 1005 1110 2010 2479 4958 7437 7583 12395 14874 15166 19541 22749 24790 37185 37915 39082 45498 58623 74370 75830 97705 113745 117246 195410 227490 280571 293115 508061 561142 586230 723017 841713 1016122 1309247 1402855 1446034 1524183 1683426 2169051 2540305 2618494 2805710 3048366 3615085 3927741 4208565 4338102 5080610 6546235 7230170 7620915 7855482 8417130 10845255 13092470 15241830 18798257 19638705 21690510 37596514 39277410 48442139 56394771 93991285 96884278 112789542 145326417 148179403 187982570 242210695 281973855 290652834 296358806 444538209 484421390 563947710 726632085 740897015 889076418 1453264170 1481794030 2222691045 4445382090 5482637911 9928020001 10965275822 16447913733 19856040002 27413189555 29784060003 32895827466 49640100005 54826379110 59568120006 82239568665 99280200010 148920300015 164479137330 297840600030 367336740037 734673480074 1102010220111 1836683700185 2204020440222 3673367400370 5510051100555 11020102201110