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11032101300 = 22352113790353
BaseRepresentation
bin10100100011001000…
…01000000110110100
31001110211211210221110
422101210020012310
5140043204220200
65022412115020
7540246212433
oct122144100664
931424753843
1011032101300
114751373aa0
12217a765a70
13106a786bbc
1476926911a
154487d0b50
hex2919081b4

11032101300 has 144 divisors (see below), whose sum is σ = 35762836032. Its totient is φ = 2602137600.

The previous prime is 11032101287. The next prime is 11032101373. The reversal of 11032101300 is 310123011.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 76924 + ... + 167276.

It is an arithmetic number, because the mean of its divisors is an integer number (248353028).

Almost surely, 211032101300 is an apocalyptic number.

11032101300 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 11032101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17881418016).

11032101300 is an abundant number, since it is smaller than the sum of its proper divisors (24730734732).

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

11032101300 is a wasteful number, since it uses less digits than its factorization.

11032101300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90418 (or 90411 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11032101300 its reverse (310123011), we get a palindrome (11342224311).

The spelling of 11032101300 in words is "eleven billion, thirty-two million, one hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 37 44 50 55 60 66 74 75 100 110 111 132 148 150 165 185 220 222 275 300 330 370 407 444 550 555 660 740 814 825 925 1100 1110 1221 1628 1650 1850 2035 2220 2442 2775 3300 3700 4070 4884 5550 6105 8140 10175 11100 12210 20350 24420 30525 40700 61050 90353 122100 180706 271059 361412 451765 542118 903530 993883 1084236 1355295 1807060 1987766 2258825 2710590 2981649 3343061 3975532 4517650 4969415 5421180 5963298 6686122 6776475 9035300 9938830 10029183 11926596 13372244 13552950 14908245 16715305 19877660 20058366 24847075 27105900 29816490 33430610 36773671 40116732 49694150 50145915 59632980 66861220 73547342 74541225 83576525 99388300 100291830 110321013 147094684 149082450 167153050 183868355 200583660 220642026 250729575 298164900 334306100 367736710 441284052 501459150 551605065 735473420 919341775 1002918300 1103210130 1838683550 2206420260 2758025325 3677367100 5516050650 11032101300