Search a number
-
+
1011000101100 = 2235211337909091
BaseRepresentation
bin11101011011001000100…
…11010100100011101100
310120122120100001110101220
432231210103110203230
5113031012011213400
62052240320503340
7133020345032433
oct16554423244354
93518510043356
101011000101100
1135a843222740
12143b31a7ab50
137444c22a1c2
1436d0b34211a
151b4723257a0
hexeb644d48ec

1011000101100 has 144 divisors (see below), whose sum is σ = 3200556567936. Its totient is φ = 244363392000.

The previous prime is 1011000101093. The next prime is 1011000101113. The reversal of 1011000101100 is 11010001101.

1011000101100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 657555 + ... + 1566645.

Almost surely, 21011000101100 is an apocalyptic number.

1011000101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011000101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600278283968).

1011000101100 is an abundant number, since it is smaller than the sum of its proper divisors (2189556466836).

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

1011000101100 is a wasteful number, since it uses less digits than its factorization.

1011000101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909456 (or 909449 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1011000101100 its reverse (11010001101), we get a palindrome (1022010102201).

Subtracting from 1011000101100 its reverse (11010001101), we obtain a palindrome (999990099999).

The spelling of 1011000101100 in words is "one trillion, eleven billion, one hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 337 550 660 674 825 1011 1100 1348 1650 1685 2022 3300 3370 3707 4044 5055 6740 7414 8425 10110 11121 14828 16850 18535 20220 22242 25275 33700 37070 44484 50550 55605 74140 92675 101100 111210 185350 222420 278025 370700 556050 909091 1112100 1818182 2727273 3636364 4545455 5454546 9090910 10000001 10909092 13636365 18181820 20000002 22727275 27272730 30000003 40000004 45454550 50000005 54545460 60000006 68181825 90909100 100000010 120000012 136363650 150000015 200000020 250000025 272727300 300000030 306363667 500000050 600000060 612727334 750000075 919091001 1000000100 1225454668 1500000150 1531818335 1838182002 3000000300 3063636670 3370000337 3676364004 4595455005 6127273340 6740000674 7659091675 9190910010 10110001011 13480001348 15318183350 16850001685 18381820020 20220002022 22977275025 30636366700 33700003370 40440004044 45954550050 50550005055 67400006740 84250008425 91909100100 101100010110 168500016850 202200020220 252750025275 337000033700 505500050550 1011000101100