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11020100340 = 22352947134753
BaseRepresentation
bin10100100001101100…
…10110001011110100
31001110000021002201110
422100312112023310
5140032121202330
65021302555020
7540042210264
oct122066261364
931400232643
1011020100340
114745617547
122176738a70
131068144642
147678237a4
1544770edb0
hex290d962f4

11020100340 has 96 divisors (see below), whose sum is σ = 32599687680. Its totient is φ = 2776969216.

The previous prime is 11020100321. The next prime is 11020100341. The reversal of 11020100340 is 4300102011.

It is a happy number.

It is a super-2 number, since 2×110201003402 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11020100341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14404 + ... + 149156.

It is an arithmetic number, because the mean of its divisors is an integer number (339580080).

Almost surely, 211020100340 is an apocalyptic number.

11020100340 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 11020100340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16299843840).

11020100340 is an abundant number, since it is smaller than the sum of its proper divisors (21579587340).

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

11020100340 is a wasteful number, since it uses less digits than its factorization.

11020100340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134841 (or 134839 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11020100340 its reverse (4300102011), we get a palindrome (15320202351).

The spelling of 11020100340 in words is "eleven billion, twenty million, one hundred thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 47 58 60 87 94 116 141 145 174 188 235 282 290 348 435 470 564 580 705 870 940 1363 1410 1740 2726 2820 4089 5452 6815 8178 13630 16356 20445 27260 40890 81780 134753 269506 404259 539012 673765 808518 1347530 1617036 2021295 2695060 3907837 4042590 6333391 7815674 8085180 11723511 12666782 15631348 19000173 19539185 23447022 25333564 31666955 38000346 39078370 46894044 58617555 63333910 76000692 78156740 95000865 117235110 126667820 183668339 190001730 234470220 367336678 380003460 551005017 734673356 918341695 1102010034 1836683390 2204020068 2755025085 3673366780 5510050170 11020100340