Search a number
-
+
1011330012 = 22374113191
BaseRepresentation
bin111100010001111…
…010101111011100
32121110222212222010
4330101322233130
54032400030022
6244204151220
734030110000
oct7421725734
92543885863
101011330012
11479962230
12242838510
131316a6234
149845a700
155dbbd50c
hex3c47abdc

1011330012 has 120 divisors (see below), whose sum is σ = 3004106112. Its totient is φ = 262600800.

The previous prime is 1011329993. The next prime is 1011330053. The reversal of 1011330012 is 2100331101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 1011330012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 315337 + ... + 318527.

Almost surely, 21011330012 is an apocalyptic number.

1011330012 is a gapful number since it is divisible by the number (12) 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 1011330012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502053056).

1011330012 is an abundant number, since it is smaller than the sum of its proper divisors (1992776100).

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

1011330012 is a wasteful number, since it uses less digits than its factorization.

1011330012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3237 (or 3214 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1011330012 is about 31801.4152515261. The cubic root of 1011330012 is about 1003.7624965321.

Adding to 1011330012 its reverse (2100331101), we get a palindrome (3111661113).

The spelling of 1011330012 in words is "one billion, eleven million, three hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 343 462 539 588 686 924 1029 1078 1372 1617 2058 2156 2401 3191 3234 3773 4116 4802 6382 6468 7203 7546 9573 9604 11319 12764 14406 15092 19146 22337 22638 26411 28812 35101 38292 44674 45276 52822 67011 70202 79233 89348 105303 105644 134022 140404 156359 158466 210606 245707 268044 312718 316932 421212 469077 491414 625436 737121 938154 982828 1094513 1474242 1719949 1876308 2189026 2948484 3283539 3439898 4378052 5159847 6567078 6879796 7661591 10319694 12039643 13134156 15323182 20639388 22984773 24079286 30646364 36118929 45969546 48158572 72237858 84277501 91939092 144475716 168555002 252832503 337110004 505665006 1011330012