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1022021101002 = 23111011249122753
BaseRepresentation
bin11101101111101010011…
…01000110010111001010
310121201000102000021002110
432313311031012113022
5113221044400213002
62101302055043150
7133560431010456
oct16676515062712
93551012007073
101022021101002
113644892a4020
121460a89704b6
13754b75c8115
1437674d1b666
151b8b9b61e6c
hexedf53465ca

1022021101002 has 64 divisors (see below), whose sum is σ = 2253763440000. Its totient is φ = 306388992000.

The previous prime is 1022021100977. The next prime is 1022021101009. The reversal of 1022021101002 is 2001011202201.

It is not an unprimeable number, because it can be changed into a prime (1022021101009) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8264458 + ... + 8387210.

It is an arithmetic number, because the mean of its divisors is an integer number (35215053750).

Almost surely, 21022021101002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022021101002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126881720000).

1022021101002 is an abundant number, since it is smaller than the sum of its proper divisors (1231742338998).

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

1022021101002 is a wasteful number, since it uses less digits than its factorization.

1022021101002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124119.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1022021101002 its reverse (2001011202201), we get a palindrome (3023032303203).

The spelling of 1022021101002 in words is "one trillion, twenty-two billion, twenty-one million, one hundred one thousand, two".

Divisors: 1 2 3 6 11 22 33 66 101 202 303 606 1111 1249 2222 2498 3333 3747 6666 7494 13739 27478 41217 82434 122753 126149 245506 252298 368259 378447 736518 756894 1350283 1387639 2700566 2775278 4050849 4162917 8101698 8325834 12398053 24796106 37194159 74388318 136378583 153318497 272757166 306636994 409135749 459955491 818271498 919910982 1686503467 3373006934 5059510401 10119020802 15485168197 30970336394 46455504591 92911009182 170336850167 340673700334 511010550501 1022021101002