Search a number
-
+
11331330122100 = 22352192104629087
BaseRepresentation
bin1010010011100100011111…
…1010000010000101110100
31111010021010212201210221010
42210321013322002011310
52441123031002401400
640033312521552220
72246442631562562
oct244710772020564
944107125653833
1011331330122100
1136796544a06aa
121330107645670
1364270306b441
142b2621644a32
15149b49632450
hexa4e47e82174

11331330122100 has 108 divisors (see below), whose sum is σ = 34601676434304. Its totient is φ = 2862651792960.

The previous prime is 11331330122069. The next prime is 11331330122111. The reversal of 11331330122100 is 122103313311.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 52206244 + ... + 52422843.

Almost surely, 211331330122100 is an apocalyptic number.

11331330122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11331330122100 is an abundant number, since it is smaller than the sum of its proper divisors (23270346312204).

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

11331330122100 is a wasteful number, since it uses less digits than its factorization.

11331330122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104629142 (or 104629116 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 11331330122100 its reverse (122103313311), we get a palindrome (11453433435411).

The spelling of 11331330122100 in words is "eleven trillion, three hundred thirty-one billion, three hundred thirty million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 361 380 475 570 722 950 1083 1140 1425 1444 1805 1900 2166 2850 3610 4332 5415 5700 7220 9025 10830 18050 21660 27075 36100 54150 108300 104629087 209258174 313887261 418516348 523145435 627774522 1046290870 1255549044 1569436305 1987952653 2092581740 2615727175 3138872610 3975905306 5231454350 5963857959 6277745220 7847181525 7951810612 9939763265 10462908700 11927715918 15694363050 19879526530 23855431836 29819289795 31388726100 37771100407 39759053060 49698816325 59638579590 75542200814 99397632650 113313301221 119277159180 149096448975 151084401628 188855502035 198795265300 226626602442 298192897950 377711004070 453253204884 566566506105 596385795900 755422008140 944277510175 1133133012210 1888555020350 2266266024420 2832832530525 3777110040700 5665665061050 11331330122100