Search a number
-
+
1111100010020 = 2257111355499501
BaseRepresentation
bin10000001010110010101…
…110001010111000100100
310221012221110200200220222
4100022302232022320210
5121201013100310040
62210233213143512
7143163044153540
oct20126256127044
93835843620828
101111100010020
1139923aa978a0
1215b40918ab98
1380a1264ab40
143bac576ca20
151dd801e7bb5
hex102b2b8ae24

1111100010020 has 96 divisors (see below), whose sum is σ = 3132835888896. Its totient is φ = 319677120000.

The previous prime is 1111100010011. The next prime is 1111100010029. The reversal of 1111100010020 is 200100011111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1111100010011) and next prime (1111100010029).

It is not an unprimeable number, because it can be changed into a prime (1111100010029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27729731 + ... + 27769770.

It is an arithmetic number, because the mean of its divisors is an integer number (32633707176).

Almost surely, 21111100010020 is an apocalyptic number.

1111100010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1111100010020 is an abundant number, since it is smaller than the sum of its proper divisors (2021735878876).

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

1111100010020 is a wasteful number, since it uses less digits than its factorization.

1111100010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55499541 (or 55499539 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1111100010020 its reverse (200100011111), we get a palindrome (1311200021131).

The spelling of 1111100010020 in words is "one trillion, one hundred eleven billion, one hundred million, ten thousand, twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 10010 20020 55499501 110999002 221998004 277497505 388496507 554995010 610494511 721493513 776993014 1109990020 1220989022 1442987026 1553986028 1942482535 2441978044 2885974052 3052472555 3607467565 3884965070 4273461577 5050454591 6104945110 7214935130 7769930140 7936428643 8546923154 10100909182 12209890220 14429870260 15872857286 17093846308 20201818364 21367307885 25252272955 31745714572 39682143215 42734615770 50504545910 55555000501 79364286430 85469231540 101009091820 111110001002 158728572860 222220002004 277775002505 555550005010 1111100010020