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100220021010 = 2355277148891
BaseRepresentation
bin101110101010110010…
…1000010100100010010
3100120200111122120100000
41131111211002210102
53120222311133020
6114012422510430
710145355060114
oct1352545024422
9316614576300
10100220021010
113955965314a
121750b595416
1395b22868a5
144bca3753b4
1529186eb090
hex1755942912

100220021010 has 96 divisors (see below), whose sum is σ = 271200226752. Its totient is φ = 26628678720.

The previous prime is 100220020963. The next prime is 100220021023. The reversal of 100220021010 is 10120022001.

It is a super-2 number, since 2×1002200210102 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 100220020983 and 100220021001.

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, 598665 + ... + 747555.

It is an arithmetic number, because the mean of its divisors is an integer number (2825002362).

Almost surely, 2100220021010 is an apocalyptic number.

100220021010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100220021010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135600113376).

100220021010 is an abundant number, since it is smaller than the sum of its proper divisors (170980205742).

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

100220021010 is a wasteful number, since it uses less digits than its factorization.

100220021010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149190 (or 149178 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100220021010 its reverse (10120022001), we get a palindrome (110340043011).

Subtracting from 100220021010 its reverse (10120022001), we obtain a palindrome (90099999009).

The spelling of 100220021010 in words is "one hundred billion, two hundred twenty million, twenty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 277 405 486 554 810 831 1215 1385 1662 2430 2493 2770 4155 4986 7479 8310 12465 14958 22437 24930 37395 44874 67311 74790 112185 134622 148891 224370 297782 336555 446673 673110 744455 893346 1340019 1488910 2233365 2680038 4020057 4466730 6700095 8040114 12060171 13400190 20100285 24120342 36180513 40200570 41242807 60300855 72361026 82485614 120601710 123728421 180902565 206214035 247456842 361805130 371185263 412428070 618642105 742370526 1113555789 1237284210 1855926315 2227111578 3340667367 3711852630 5567778945 6681334734 10022002101 11135557890 16703336835 20044004202 33406673670 50110010505 100220021010