Search a number
-
+
1022001011120 = 24559333916353
BaseRepresentation
bin11101101111101000000…
…00011101100110110000
310121200222000012120221202
432313310000131212300
5113221024224323440
62101300100310332
7133560065155415
oct16676400354660
93550860176852
101022001011120
11364478a22211
121460a20a23a8
13754b33b2b0b
14376723ac10c
151b8b7ee4615
hexedf401d9b0

1022001011120 has 80 divisors (see below), whose sum is σ = 2381236019712. Its totient is φ = 407926456320.

The previous prime is 1022001011111. The next prime is 1022001011131. The reversal of 1022001011120 is 211101002201.

1022001011120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160865864 + ... + 160872216.

Almost surely, 21022001011120 is an apocalyptic number.

1022001011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022001011120 is an abundant number, since it is smaller than the sum of its proper divisors (1359235008592).

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

1022001011120 is a wasteful number, since it uses less digits than its factorization.

1022001011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10350 (or 10344 counting only the distinct ones).

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

Adding to 1022001011120 its reverse (211101002201), we get a palindrome (1233102013321).

The spelling of 1022001011120 in words is "one trillion, twenty-two billion, one million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 593 1186 2372 2965 3391 4744 5930 6353 6782 9488 11860 12706 13564 16955 23720 25412 27128 31765 33910 47440 50824 54256 63530 67820 101648 127060 135640 254120 271280 508240 2010863 3767329 4021726 7534658 8043452 10054315 15069316 16086904 18836645 20108630 21543023 30138632 32173808 37673290 40217260 43086046 60277264 75346580 80434520 86172092 107715115 150693160 160869040 172344184 215430230 301386320 344688368 430860460 861720920 1723441840 12775012639 25550025278 51100050556 63875063195 102200101112 127750126390 204400202224 255500252780 511000505560 1022001011120