Search a number
-
+
101122220101002 = 231736771085313259
BaseRepresentation
bin10110111111100001011010…
…000000100000110110001010
3111021001012010101102101022020
4112333201122000200312022
5101223241301321213002
6555022523454105310
730204560611462332
oct2677413200406612
9437035111371266
10101122220101002
112a247768aa5a01
12b4121b6aab236
134456a27547879
141ad84ad3920c2
15ba564ad792bc
hex5bf85a020d8a

101122220101002 has 64 divisors (see below), whose sum is σ = 203748082162560. Its totient is φ = 33457457755904.

The previous prime is 101122220100973. The next prime is 101122220101009. The reversal of 101122220101002 is 200101022221101.

It is not an unprimeable number, because it can be changed into a prime (101122220101009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7626678649 + ... + 7626691907.

It is an arithmetic number, because the mean of its divisors is an integer number (3183563783790).

Almost surely, 2101122220101002 is an apocalyptic number.

101122220101002 is an abundant number, since it is smaller than the sum of its proper divisors (102625862061558).

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

101122220101002 is a wasteful number, since it uses less digits than its factorization.

101122220101002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24967.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101122220101002 its reverse (200101022221101), we get a palindrome (301223242322103).

The spelling of 101122220101002 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred twenty million, one hundred one thousand, two".

Divisors: 1 2 3 6 173 346 519 677 1038 1354 2031 4062 10853 13259 21706 26518 32559 39777 65118 79554 117121 234242 351363 702726 1877569 2293807 3755138 4587614 5632707 6881421 7347481 8976343 11265414 13762842 14694962 17952686 22042443 26929029 44084886 53858058 143899927 287799854 431699781 863399562 1271114213 1552907339 2542228426 3105814678 3813342639 4658722017 7626685278 9317444034 24894687371 49789374742 74684062113 97420250579 149368124226 194840501158 292260751737 584521503474 16853703350167 33707406700334 50561110050501 101122220101002