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11012021100 = 223252110311093
BaseRepresentation
bin10100100000101111…
…00001101101101100
31001102110001122002100
422100113201231230
5140023034133400
65020413455100
7536613430533
oct122027415554
931373048070
1011012021100
114740aa9493
122173aa1490
131066576122
1476671d31a
15446b66100
hex2905e1b6c

11012021100 has 108 divisors (see below), whose sum is σ = 34550976096. Its totient is φ = 2933612160.

The previous prime is 11012021077. The next prime is 11012021117. The reversal of 11012021100 is 112021011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 987154 + ... + 998246.

Almost surely, 211012021100 is an apocalyptic number.

11012021100 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 11012021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17275488048).

11012021100 is an abundant number, since it is smaller than the sum of its proper divisors (23538954996).

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

11012021100 is a wasteful number, since it uses less digits than its factorization.

11012021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12216 (or 12206 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11012021100 its reverse (112021011), we get a palindrome (11124042111).

The spelling of 11012021100 in words is "eleven billion, twelve million, twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 1103 2206 3309 4412 5515 6618 9927 11030 11093 13236 16545 19854 22060 22186 27575 33090 33279 39708 44372 49635 55150 55465 66180 66558 82725 99270 99837 110300 110930 133116 165450 166395 198540 199674 221860 248175 277325 330900 332790 399348 496350 499185 554650 665580 831975 992700 998370 1109300 1663950 1996740 2495925 3327900 4991850 9983700 12235579 24471158 36706737 48942316 61177895 73413474 110120211 122355790 146826948 183533685 220240422 244711580 305889475 367067370 440480844 550601055 611778950 734134740 917668425 1101202110 1223557900 1835336850 2202404220 2753005275 3670673700 5506010550 11012021100