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1020022202100 = 2235211595238943
BaseRepresentation
bin11101101011111100000…
…11111001111011110100
310121111212002201200021210
432311332003321323310
5113203001140431400
62100331451441420
7133460046443046
oct16657603717364
93544762650253
101020022202100
11363652a39760
1214582b456270
1375259447cc5
143752566ba96
151b7ee41a950
hexed7e0f9ef4

1020022202100 has 144 divisors (see below), whose sum is σ = 3274130442240. Its totient is φ = 243086908800.

The previous prime is 1020022202099. The next prime is 1020022202113. The reversal of 1020022202100 is 12022200201.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 2424772 + ... + 2814171.

It is an arithmetic number, because the mean of its divisors is an integer number (22737016960).

Almost surely, 21020022202100 is an apocalyptic number.

1020022202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020022202100 is an abundant number, since it is smaller than the sum of its proper divisors (2254108240140).

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

1020022202100 is a wasteful number, since it uses less digits than its factorization.

1020022202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5239030 (or 5239023 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1020022202100 its reverse (12022200201), we get a palindrome (1032044402301).

The spelling of 1020022202100 in words is "one trillion, twenty billion, twenty-two million, two hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 59 60 66 75 100 110 118 132 150 165 177 220 236 275 295 300 330 354 550 590 649 660 708 825 885 1100 1180 1298 1475 1650 1770 1947 2596 2950 3245 3300 3540 3894 4425 5900 6490 7788 8850 9735 12980 16225 17700 19470 32450 38940 48675 64900 97350 194700 5238943 10477886 15716829 20955772 26194715 31433658 52389430 57628373 62867316 78584145 104778860 115256746 130973575 157168290 172885119 230513492 261947150 288141865 309097637 314336580 345770238 392920725 523894300 576283730 618195274 691540476 785841450 864425595 927292911 1152567460 1236390548 1440709325 1545488185 1571682900 1728851190 1854585822 2881418650 3090976370 3400074007 3457702380 3709171644 4322127975 4636464555 5762837300 6181952740 6800148014 7727440925 8644255950 9272929110 10200222021 13600296028 15454881850 17000370035 17288511900 18545858220 20400444042 23182322775 30909763700 34000740070 40800888084 46364645550 51001110105 68001480140 85001850175 92729291100 102002220210 170003700350 204004440420 255005550525 340007400700 510011101050 1020022202100