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101002222220200 = 23527113638446411
BaseRepresentation
bin10110111101110001101001…
…100100111011001110101000
3111020121201101112020102210121
4112331301221210323032220
5101214310022342021300
6554451440315053024
730163112136354340
oct2675615144731650
9436551345212717
10101002222220200
112a200890358a94
12b3b2aa7a41174
134448612922c82
141ad276843bd20
15ba247619181a
hex5bdc6993b3a8

101002222220200 has 96 divisors (see below), whose sum is σ = 270752354400960. Its totient is φ = 34322879001600.

The previous prime is 101002222220143. The next prime is 101002222220311. The reversal of 101002222220200 is 2022222200101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 319065006 + ... + 319381405.

It is an arithmetic number, because the mean of its divisors is an integer number (2820337025010).

Almost surely, 2101002222220200 is an apocalyptic number.

101002222220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101002222220200 is an abundant number, since it is smaller than the sum of its proper divisors (169750132180760).

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

101002222220200 is a wasteful number, since it uses less digits than its factorization.

101002222220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638446547 (or 638446538 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 101002222220200 its reverse (2022222200101), we get a palindrome (103024444420301).

The spelling of 101002222220200 in words is "one hundred one trillion, two billion, two hundred twenty-two million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 113 140 175 200 226 280 350 452 565 700 791 904 1130 1400 1582 2260 2825 3164 3955 4520 5650 6328 7910 11300 15820 19775 22600 31640 39550 79100 158200 638446411 1276892822 2553785644 3192232055 4469124877 5107571288 6384464110 8938249754 12768928220 15961160275 17876499508 22345624385 25537856440 31922320550 35752999016 44691248770 63844641100 72144444443 89382497540 111728121925 127689282200 144288888886 178764995080 223456243850 288577777772 360722222215 446912487700 505011111101 577155555544 721444444430 893824975400 1010022222202 1442888888860 1803611111075 2020044444404 2525055555505 2885777777720 3607222222150 4040088888808 5050111111010 7214444444300 10100222222020 12625277777525 14428888888600 20200444444040 25250555555050 50501111110100 101002222220200