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1011113111940 = 2235111427151237
BaseRepresentation
bin11101011011010110000…
…10011011000110000100
310120122212012201000010120
432231223002123012010
5113031224424040230
62052255435021540
7133023216434211
oct16555302330604
93518765630116
101011113111940
1135a8a0aa0428
12143b6389a8b0
1374469777b19
1436d1c35cb08
151b47c1ea310
hexeb6b09b184

1011113111940 has 48 divisors (see below), whose sum is σ = 2831160841152. Its totient is φ = 269625960576.

The previous prime is 1011113111891. The next prime is 1011113111941. The reversal of 1011113111940 is 491113111101.

It is a self number, because there is not a number n which added to its sum of digits gives 1011113111940.

It is not an unprimeable number, because it can be changed into a prime (1011113111941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6610002 + ... + 6761238.

It is an arithmetic number, because the mean of its divisors is an integer number (58982517524).

Almost surely, 21011113111940 is an apocalyptic number.

1011113111940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011113111940 is an abundant number, since it is smaller than the sum of its proper divisors (1820047729212).

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

1011113111940 is a wasteful number, since it uses less digits than its factorization.

1011113111940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262676 (or 262674 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 24.

The spelling of 1011113111940 in words is "one trillion, eleven billion, one hundred thirteen million, one hundred eleven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 111427 151237 222854 302474 334281 445708 453711 557135 604948 668562 756185 907422 1114270 1337124 1512370 1671405 1814844 2228540 2268555 3024740 3342810 4537110 6685620 9074220 16851885199 33703770398 50555655597 67407540796 84259425995 101111311194 168518851990 202222622388 252778277985 337037703980 505556555970 1011113111940