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100211331330 = 2355113749021
BaseRepresentation
bin101110101010100001…
…1111001000100000010
3100120122220022002100000
41131111003321010002
53120213100100310
6114011512340430
710145221155555
oct1352503710402
9316586262300
10100211331330
11395547584a0
12175086a4716
1395b0533576
144bc915269c
152917a814c0
hex17550f9102

100211331330 has 96 divisors (see below), whose sum is σ = 294763105728. Its totient is φ = 24293649600.

The previous prime is 100211331329. The next prime is 100211331331. The reversal of 100211331330 is 33133112001.

It is a happy number.

100211331330 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 1 + 1 + 331 + 330 = 666.

It is an interprime number because it is at equal distance from previous prime (100211331329) and next prime (100211331331).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100211331331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1847781 + ... + 1901240.

It is an arithmetic number, because the mean of its divisors is an integer number (3070449018).

Almost surely, 2100211331330 is an apocalyptic number.

100211331330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100211331330 is an abundant number, since it is smaller than the sum of its proper divisors (194551774398).

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

100211331330 is a wasteful number, since it uses less digits than its factorization.

100211331330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3749054 (or 3749042 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 100211331330 its reverse (33133112001), we get a palindrome (133344443331).

The spelling of 100211331330 in words is "one hundred billion, two hundred eleven million, three hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 243 270 297 330 405 486 495 594 810 891 990 1215 1485 1782 2430 2673 2970 4455 5346 8910 13365 26730 3749021 7498042 11247063 18745105 22494126 33741189 37490210 41239231 56235315 67482378 82478462 101223567 112470630 123717693 168705945 202447134 206196155 247435386 303670701 337411890 371153079 412392310 506117835 607341402 618588465 742306158 911012103 1012235670 1113459237 1237176930 1518353505 1822024206 1855765395 2226918474 3036707010 3340377711 3711530790 4555060515 5567296185 6680755422 9110121030 10021133133 11134592370 16701888555 20042266266 33403777110 50105665665 100211331330