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1020002021100 = 2232521959649241
BaseRepresentation
bin11101101011111001101…
…10111010111011101100
310121111210200202101011100
432311330312322323230
5113202431004133400
62100325451123100
7133456413061236
oct16657466727354
93544720671140
101020002021100
11363642605447
12145824743490
137525520039a
1437522ad7256
151b7ec781100
hexed7cdbaeec

1020002021100 has 108 divisors (see below), whose sum is σ = 3365410233640. Its totient is φ = 257684716800.

The previous prime is 1020002021089. The next prime is 1020002021107. The reversal of 1020002021100 is 11202000201.

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

It is not an unprimeable number, because it can be changed into a prime (1020002021107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29807521 + ... + 29841720.

Almost surely, 21020002021100 is an apocalyptic number.

1020002021100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020002021100 is an abundant number, since it is smaller than the sum of its proper divisors (2345408212540).

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

1020002021100 is a wasteful number, since it uses less digits than its factorization.

1020002021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59649280 (or 59649270 counting only the distinct ones).

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

Adding to 1020002021100 its reverse (11202000201), we get a palindrome (1031204021301).

The spelling of 1020002021100 in words is "one trillion, twenty billion, two million, twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 25 30 36 38 45 50 57 60 75 76 90 95 100 114 150 171 180 190 225 228 285 300 342 380 450 475 570 684 855 900 950 1140 1425 1710 1900 2850 3420 4275 5700 8550 17100 59649241 119298482 178947723 238596964 298246205 357895446 536843169 596492410 715790892 894738615 1073686338 1133335579 1192984820 1491231025 1789477230 2147372676 2266671158 2684215845 2982462050 3400006737 3578954460 4473693075 4533342316 5368431690 5666677895 5964924100 6800013474 8947386150 10200020211 10736863380 11333355790 13421079225 13600026948 17000033685 17894772300 20400040422 22666711580 26842158450 28333389475 34000067370 40800080844 51000101055 53684316900 56666778950 68000134740 85000168425 102000202110 113333557900 170000336850 204000404220 255000505275 340000673700 510001010550 1020002021100