Search a number
-
+
1022010100002 = 23431533839747
BaseRepresentation
bin11101101111101001000…
…11001000100100100010
310121200222122022100120000
432313310203020210202
5113221034041200002
62101301023200430
7133560235341543
oct16676443104442
93550878270500
101022010100002
1136448306a891
121460a5146116
13754b5245a58
14376736964ca
151b8b8bdc61c
hexedf48c8922

1022010100002 has 80 divisors (see below), whose sum is σ = 2408535689472. Its totient is φ = 323460203040.

The previous prime is 1022010099991. The next prime is 1022010100003. The reversal of 1022010100002 is 2000010102201.

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 (1022010100003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1653708 + ... + 2186039.

Almost surely, 21022010100002 is an apocalyptic number.

1022010100002 is an abundant number, since it is smaller than the sum of its proper divisors (1386525589470).

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

1022010100002 is a wasteful number, since it uses less digits than its factorization.

1022010100002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3839845 (or 3839836 counting only the distinct ones).

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

Adding to 1022010100002 its reverse (2000010102201), we get a palindrome (3022020202203).

The spelling of 1022010100002 in words is "one trillion, twenty-two billion, ten million, one hundred thousand, two".

Divisors: 1 2 3 6 9 18 27 31 53 54 62 81 93 106 159 162 186 279 318 477 558 837 954 1431 1643 1674 2511 2862 3286 4293 4929 5022 8586 9858 14787 29574 44361 88722 133083 266166 3839747 7679494 11519241 23038482 34557723 69115446 103673169 119032157 203506591 207346338 238064314 311019507 357096471 407013182 610519773 622039014 714192942 1071289413 1221039546 1831559319 2142578826 3213868239 3663118638 5494677957 6308704321 6427736478 9641604717 10989355914 12617408642 16484033871 18926112963 19283209434 32968067742 37852225926 56778338889 113556677778 170335016667 340670033334 511005050001 1022010100002