Search a number
-
+
1011211120010 = 257132348313957
BaseRepresentation
bin11101011011100001110…
…00010010110110001010
310120200010001010022221002
432231300320102312022
5113031430021320020
62052313255415002
7133025516462060
oct16556070226612
93520101108832
101011211120010
1135a941351333
12143b90684462
1374483b71a70
1436d2b392030
151b485b09975
hexeb70e12d8a

1011211120010 has 64 divisors (see below), whose sum is σ = 2337622543872. Its totient is φ = 306117225216.

The previous prime is 1011211119959. The next prime is 1011211120061. The reversal of 1011211120010 is 100211121101.

1011211120010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1011211119959) and next prime (1011211120061).

It is a junction number, because it is equal to n+sod(n) for n = 1011211119973 and 1011211120000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24136049 + ... + 24177908.

It is an arithmetic number, because the mean of its divisors is an integer number (36525352248).

Almost surely, 21011211120010 is an apocalyptic number.

1011211120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1011211120010 is an abundant number, since it is smaller than the sum of its proper divisors (1326411423862).

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

1011211120010 is a wasteful number, since it uses less digits than its factorization.

1011211120010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48314007.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1011211120010 its reverse (100211121101), we get a palindrome (1111422241111).

The spelling of 1011211120010 in words is "one trillion, eleven billion, two hundred eleven million, one hundred twenty thousand, ten".

Divisors: 1 2 5 7 10 13 14 23 26 35 46 65 70 91 115 130 161 182 230 299 322 455 598 805 910 1495 1610 2093 2990 4186 10465 20930 48313957 96627914 241569785 338197699 483139570 628081441 676395398 1111221011 1256162882 1690988495 2222442022 3140407205 3381976990 4396570087 5556105055 6280814410 7778547077 8793140174 11112210110 14445873143 15557094154 21982850435 28891746286 38892735385 43965700870 72229365715 77785470770 101121112001 144458731430 202242224002 505605560005 1011211120010