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1022021101010 = 257213173392581
BaseRepresentation
bin11101101111101010011…
…01000110010111010010
310121201000102000021002202
432313311031012113102
5113221044400213020
62101302055043202
7133560431010500
oct16676515062722
93551012007082
101022021101010
113644892a4028
121460a8970502
13754b75c8120
1437674d1b670
151b8b9b61e75
hexedf53465d2

1022021101010 has 96 divisors (see below), whose sum is σ = 2305956168432. Its totient is φ = 323262696960.

The previous prime is 1022021101009. The next prime is 1022021101039. The reversal of 1022021101010 is 101011202201.

It can be written as a sum of positive squares in 8 ways, for example, as 93228240889 + 928792860121 = 305333^2 + 963739^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1022021100982 and 1022021101000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10992920 + ... + 11085500.

Almost surely, 21022021101010 is an apocalyptic number.

1022021101010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1022021101010 is an abundant number, since it is smaller than the sum of its proper divisors (1283935067422).

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

1022021101010 is a wasteful number, since it uses less digits than its factorization.

1022021101010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94348 (or 94341 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1022021101010 its reverse (101011202201), we get a palindrome (1123032303211).

The spelling of 1022021101010 in words is "one trillion, twenty-two billion, twenty-one million, one hundred one thousand, ten".

Divisors: 1 2 5 7 10 13 14 26 35 49 65 70 91 98 130 182 245 455 490 637 910 1274 1733 3185 3466 6370 8665 12131 17330 22529 24262 45058 60655 84917 92581 112645 121310 157703 169834 185162 225290 315406 424585 462905 648067 788515 849170 925810 1103921 1203553 1296134 1577030 2207842 2407106 3240335 4536469 5519605 6017765 6480670 8424871 9072938 11039210 12035530 16849742 22682345 42124355 45364690 58974097 84248710 117948194 160442873 294870485 320885746 589740970 802214365 1123100111 1604428730 2085757349 2246200222 4171514698 5615500555 7861700777 10428786745 11231001110 14600301443 15723401554 20857573490 29200602886 39308503885 73001507215 78617007770 102202110101 146003014430 204404220202 511010550505 1022021101010