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11021233100 = 2252196199371
BaseRepresentation
bin10100100001110101…
…01010101111001100
31001110002101122120112
422100322222233030
5140032413424400
65021343135152
7540054635633
oct122072525714
931402348515
1011021233100
114746220609
122176ba44b8
131068450107
14767a3a51a
15447885835
hex290eaabcc

11021233100 has 72 divisors (see below), whose sum is σ = 25218177600. Its totient is φ = 4169275200.

The previous prime is 11021233073. The next prime is 11021233123. The reversal of 11021233100 is 133212011.

11021233100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×110212331002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1171415 + ... + 1180785.

Almost surely, 211021233100 is an apocalyptic number.

11021233100 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 11021233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12609088800).

11021233100 is an abundant number, since it is smaller than the sum of its proper divisors (14196944500).

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

11021233100 is a wasteful number, since it uses less digits than its factorization.

11021233100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10023 (or 10016 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 11021233100 its reverse (133212011), we get a palindrome (11154445111).

The spelling of 11021233100 in words is "eleven billion, twenty-one million, two hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 619 950 1238 1900 2476 3095 6190 9371 11761 12380 15475 18742 23522 30950 37484 46855 47044 58805 61900 93710 117610 178049 187420 234275 235220 294025 356098 468550 588050 712196 890245 937100 1176100 1780490 3560980 4451225 5800649 8902450 11601298 17804900 23202596 29003245 58006490 110212331 116012980 145016225 220424662 290032450 440849324 551061655 580064900 1102123310 2204246620 2755308275 5510616550 11021233100