Search a number
-
+
11322030132 = 223271512331277
BaseRepresentation
bin10101000101101100…
…00111100000110100
31002020001101201112100
422202312013200310
5141141414431012
65111250222100
7550366445130
oct124266074064
932201351470
1011322030132
11488aa998a6
12223b884930
1310b586991a
1479597a3c0
15463ea08dc
hex2a2d87834

11322030132 has 144 divisors (see below), whose sum is σ = 33091898112. Its totient is φ = 3197145600.

The previous prime is 11322030101. The next prime is 11322030143. The reversal of 11322030132 is 23103022311.

11322030132 is a `hidden beast` number, since 11 + 322 + 0 + 301 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 8865478 + ... + 8866754.

It is an arithmetic number, because the mean of its divisors is an integer number (229804848).

Almost surely, 211322030132 is an apocalyptic number.

11322030132 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 11322030132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16545949056).

11322030132 is an abundant number, since it is smaller than the sum of its proper divisors (21769867980).

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

11322030132 is a wasteful number, since it uses less digits than its factorization.

11322030132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11322030132 its reverse (23103022311), we get a palindrome (34425052443).

The spelling of 11322030132 in words is "eleven billion, three hundred twenty-two million, thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 151 233 252 302 453 466 604 699 906 932 1057 1277 1359 1398 1631 1812 2097 2114 2554 2718 2796 3171 3262 3831 4194 4228 4893 5108 5436 6342 6524 7662 8388 8939 9513 9786 11493 12684 14679 15324 17878 19026 19572 22986 26817 29358 35183 35756 38052 45972 53634 58716 70366 80451 105549 107268 140732 160902 192827 211098 246281 297541 316647 321804 385654 422196 492562 578481 595082 633294 738843 771308 892623 985124 1156962 1190164 1266588 1349789 1477686 1735443 1785246 2082787 2216529 2313924 2677869 2699578 2955372 3470886 3570492 4049367 4165574 4433058 5355738 5399156 6248361 6941772 8098734 8331148 8866116 10711476 12148101 12496722 16197468 18745083 24296202 24993444 37490166 44928691 48592404 74980332 89857382 134786073 179714764 269572146 314500837 404358219 539144292 629001674 808716438 943502511 1258003348 1617432876 1887005022 2830507533 3774010044 5661015066 11322030132