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11303122331000 = 2353293137124247
BaseRepresentation
bin1010010001111011011010…
…0101110110010101111000
31111000120100000210112222102
42210132312211312111320
52440142243304043000
640012325511042532
72244423623401553
oct244366645662570
944016300715872
1011303122331000
11366869997a755
121326754970448
1363cb590990a6
142b110724569a
151490480233d5
hexa47b6976578

11303122331000 has 128 divisors (see below), whose sum is σ = 27370293724800. Its totient is φ = 4363917107200.

The previous prime is 11303122330949. The next prime is 11303122331051. The reversal of 11303122331000 is 13322130311.

It is an interprime number because it is at equal distance from previous prime (11303122330949) and next prime (11303122331051).

It is a super-2 number, since 2×113031223310002 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

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, 90910877 + ... + 91035123.

It is an arithmetic number, because the mean of its divisors is an integer number (213830419725).

Almost surely, 211303122331000 is an apocalyptic number.

11303122331000 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 11303122331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13685146862400).

11303122331000 is an abundant number, since it is smaller than the sum of its proper divisors (16067171393800).

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

11303122331000 is a wasteful number, since it uses less digits than its factorization.

11303122331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127434 (or 127420 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 11303122331000 its reverse (13322130311), we get a palindrome (11316444461311).

The spelling of 11303122331000 in words is "eleven trillion, three hundred three billion, one hundred twenty-two million, three hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 580 725 1000 1160 1450 2900 3137 3625 5800 6274 7250 12548 14500 15685 25096 29000 31370 62740 78425 90973 124247 125480 156850 181946 248494 313700 363892 392125 454865 496988 621235 627400 727784 784250 909730 993976 1242470 1568500 1819460 2274325 2484940 3106175 3137000 3603163 3638920 4548650 4969880 6212350 7206326 9097300 11371625 12424700 14412652 15530875 18015815 18194600 22743250 24849400 28825304 31061750 36031630 45486500 62123500 72063260 90079075 90973000 124247000 144126520 180158150 360316300 389762839 450395375 720632600 779525678 900790750 1559051356 1801581500 1948814195 3118102712 3603163000 3897628390 7795256780 9744070975 11303122331 15590513560 19488141950 22606244662 38976283900 45212489324 48720354875 56515611655 77952567800 90424978648 97440709750 113031223310 194881419500 226062446620 282578058275 389762839000 452124893240 565156116550 1130312233100 1412890291375 2260624466200 2825780582750 5651561165500 11303122331000