Search a number
-
+
1110021210220 = 2251361149469723
BaseRepresentation
bin10000001001110010011…
…010111000000001101100
310221010011021201222210211
4100021302122320001230
5121141310412211340
62205534154512204
7143124234415606
oct20116232700154
93833137658724
101110021210220
1139883704260a
1215b167a35664
138089ccb0970
143ba2238c176
151dd1a64d5ea
hex102726b806c

1110021210220 has 96 divisors (see below), whose sum is σ = 2568638721600. Its totient is φ = 400428610560.

The previous prime is 1110021210191. The next prime is 1110021210223. The reversal of 1110021210220 is 220121200111.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 1110021210220.

It is not an unprimeable number, because it can be changed into a prime (1110021210223) 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, 2128279 + ... + 2598001.

It is an arithmetic number, because the mean of its divisors is an integer number (26756653350).

Almost surely, 21110021210220 is an apocalyptic number.

1110021210220 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 1110021210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284319360800).

1110021210220 is an abundant number, since it is smaller than the sum of its proper divisors (1458617511380).

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

1110021210220 is a wasteful number, since it uses less digits than its factorization.

1110021210220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469955 (or 469953 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1110021210220 its reverse (220121200111), we get a palindrome (1330142410331).

The spelling of 1110021210220 in words is "one trillion, one hundred ten billion, twenty-one million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 61 65 122 130 149 244 260 298 305 596 610 745 793 1220 1490 1586 1937 2980 3172 3874 3965 7748 7930 9089 9685 15860 18178 19370 36356 38740 45445 90890 118157 181780 236314 469723 472628 590785 939446 1181570 1878892 2348615 2363140 4697230 6106399 9394460 12212798 24425596 28653103 30531995 57306206 61063990 69988727 114612412 122127980 139977454 143265515 279954908 286531030 349943635 372490339 573062060 699887270 744980678 909853451 1399774540 1489961356 1819706902 1862451695 3639413804 3724903390 4269312347 4549267255 7449806780 8538624694 9098534510 17077249388 18197069020 21346561735 42693123470 55501060511 85386246940 111002121022 222004242044 277505302555 555010605110 1110021210220