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100110022110 = 23257179347341
BaseRepresentation
bin101110100111100000…
…1011011010111011110
3100120101211200001012200
41131033001123113132
53120011131201420
6113553453112330
710142551101450
oct1351701332736
9316354601180
10100110022110
113950255236a
121749a7886a6
139595551b97
144bb99002d0
15290dc1db90
hex174f05b5de

100110022110 has 96 divisors (see below), whose sum is σ = 314968036032. Its totient is φ = 21536271360.

The previous prime is 100110022109. The next prime is 100110022147. The reversal of 100110022110 is 11220011001.

It is a happy number.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100110022092 and 100110022101.

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, 4662961 + ... + 4684380.

It is an arithmetic number, because the mean of its divisors is an integer number (3280917042).

Almost surely, 2100110022110 is an apocalyptic number.

100110022110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100110022110 is an abundant number, since it is smaller than the sum of its proper divisors (214858013922).

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

100110022110 is a wasteful number, since it uses less digits than its factorization.

100110022110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9347378 (or 9347375 counting only the distinct ones).

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

Adding to 100110022110 its reverse (11220011001), we get a palindrome (111330033111).

The spelling of 100110022110 in words is "one hundred billion, one hundred ten million, twenty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 30 34 35 42 45 51 63 70 85 90 102 105 119 126 153 170 210 238 255 306 315 357 510 595 630 714 765 1071 1190 1530 1785 2142 3570 5355 10710 9347341 18694682 28042023 46736705 56084046 65431387 84126069 93473410 130862774 140210115 158904797 168252138 196294161 280420230 317809594 327156935 392588322 420630345 476714391 588882483 654313870 794523985 841260690 953428782 981470805 1112333579 1177764966 1430143173 1589047970 1962941610 2224667158 2383571955 2860286346 2944412415 3337000737 4767143910 5561667895 5888824830 6674001474 7150715865 10011002211 11123335790 14301431730 16685003685 20022004422 33370007370 50055011055 100110022110