Search a number
-
+
2221005131120 = 245156831770233
BaseRepresentation
bin100000010100011110001…
…110001100110101110000
321212022210122222202101202
4200110132032030311300
5242342104303143440
64420152103550332
7316314402060266
oct40243616146560
97768718882352
102221005131120
11786a17549986
122ba54215b3a8
131315945739c9
14796d653c436
153cb90564615
hex2051e38cd70

2221005131120 has 40 divisors (see below), whose sum is σ = 5164169110416. Its totient is φ = 888344903168.

The previous prime is 2221005131047. The next prime is 2221005131171. The reversal of 2221005131120 is 211315001222.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×22210051311202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2221005131092 and 2221005131101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 369524 + ... + 2139756.

Almost surely, 22221005131120 is an apocalyptic number.

2221005131120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221005131120 is an abundant number, since it is smaller than the sum of its proper divisors (2943163979296).

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

2221005131120 is a wasteful number, since it uses less digits than its factorization.

2221005131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785929 (or 1785923 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The spelling of 2221005131120 in words is "two trillion, two hundred twenty-one billion, five million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 15683 31366 62732 78415 125464 156830 250928 313660 627320 1254640 1770233 3540466 7080932 8851165 14161864 17702330 28323728 35404660 70809320 141618640 27762564139 55525128278 111050256556 138812820695 222100513112 277625641390 444201026224 555251282780 1110502565560 2221005131120