Search a number
-
+
111100212020 = 22571922817823
BaseRepresentation
bin110011101111000010…
…1101011001100110100
3101121202202122112112102
41213132011223030310
53310013123241040
6123012211041232
711012111135450
oct1473605531464
9347682575472
10111100212020
114313219a746
12196472a0218
13a627423235
14553d379660
152d539c1515
hex19de16b334

111100212020 has 144 divisors (see below), whose sum is σ = 282450405888. Its totient is φ = 35953666560.

The previous prime is 111100212007. The next prime is 111100212037. The reversal of 111100212020 is 20212001111.

It is a super-2 number, since 2×1111002120202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111100211992 and 111100212010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14197829 + ... + 14205651.

It is an arithmetic number, because the mean of its divisors is an integer number (1961461152).

Almost surely, 2111100212020 is an apocalyptic number.

111100212020 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 111100212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141225202944).

111100212020 is an abundant number, since it is smaller than the sum of its proper divisors (171350193868).

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

111100212020 is a wasteful number, since it uses less digits than its factorization.

111100212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8158 (or 8137 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 111100212020 its reverse (20212001111), we get a palindrome (131312213131).

The spelling of 111100212020 in words is "one hundred eleven billion, one hundred million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 281 361 380 532 562 665 722 1124 1330 1405 1444 1805 1967 2527 2660 2810 3610 3934 5054 5339 5620 7220 7823 7868 9835 10108 10678 12635 15646 19670 21356 25270 26695 31292 37373 39115 39340 50540 53390 54761 74746 78230 101441 106780 109522 148637 149492 156460 186865 202882 219044 273805 297274 373730 405764 507205 547610 594548 710087 743185 747460 1014410 1040459 1095220 1420174 1486370 2028820 2080918 2198263 2824103 2840348 2972740 3550435 4161836 4396526 5202295 5648206 7100870 8793052 10404590 10991315 11296412 14120515 14201740 15387841 19768721 20809180 21982630 28241030 30775682 39537442 41766997 43965260 56482060 61551364 76939205 79074884 83533994 98843605 153878410 167067988 197687210 208834985 292368979 307756820 395374420 417669970 584737958 793572943 835339940 1169475916 1461844895 1587145886 2923689790 3174291772 3967864715 5555010601 5847379580 7935729430 11110021202 15871458860 22220042404 27775053005 55550106010 111100212020