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1021000001010 = 2351143357120149
BaseRepresentation
bin11101101101110000101…
…01111010010111110010
310121121101020122000020020
432312320111322113302
5113212002000013020
62101012501224310
7133523221546533
oct16667025722762
93547336560206
101021000001010
11364004979530
12145a62a02096
1375383bb0c42
14375b947a68a
151b85a1b3c40
hexedb857a5f2

1021000001010 has 128 divisors (see below), whose sum is σ = 2736232012800. Its totient is φ = 241679289600.

The previous prime is 1021000001003. The next prime is 1021000001069. The reversal of 1021000001010 is 101000001201.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a self number, because there is not a number n which added to its sum of digits gives 1021000001010.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50662416 + ... + 50682564.

It is an arithmetic number, because the mean of its divisors is an integer number (21376812600).

Almost surely, 21021000001010 is an apocalyptic number.

1021000001010 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 1021000001010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368116006400).

1021000001010 is an abundant number, since it is smaller than the sum of its proper divisors (1715232011790).

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

1021000001010 is a wasteful number, since it uses less digits than its factorization.

1021000001010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23784.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 1021000001010 its reverse (101000001201), we get a palindrome (1122000002211).

The spelling of 1021000001010 in words is "one trillion, twenty-one billion, one thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 43 55 66 86 110 129 165 215 258 330 430 473 645 946 1290 1419 2365 2838 3571 4730 7095 7142 10713 14190 17855 20149 21426 35710 39281 40298 53565 60447 78562 100745 107130 117843 120894 153553 196405 201490 221639 235686 302235 307106 392810 443278 460659 589215 604470 664917 767765 866407 921318 1108195 1178430 1329834 1535530 1689083 1732814 2216390 2303295 2599221 3324585 3378166 4332035 4606590 5067249 5198442 6649170 8445415 8664070 9530477 10134498 12996105 16890830 19060954 25336245 25992210 28591431 47652385 50672490 57182862 71952079 95304770 142957155 143904158 215856237 285914310 359760395 431712474 719520790 791472869 1079281185 1582945738 2158562370 2374418607 3093939397 3957364345 4748837214 6187878794 7914728690 9281818191 11872093035 15469696985 18563636382 23744186070 30939393970 34033333367 46409090955 68066666734 92818181910 102100000101 170166666835 204200000202 340333333670 510500000505 1021000001010