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21540000132 = 223275911171297
BaseRepresentation
bin10100000011111000…
…100101000110000100
32001121011022101021200
4110003320211012010
5323103220001012
613521220542500
71361531660130
oct240370450604
961534271250
1021540000132
11915384aa02
124211851a30
132053763811
141084a3c3c0
158610673dc
hex503e25184

21540000132 has 144 divisors (see below), whose sum is σ = 63386843520. Its totient is φ = 6039899136.

The previous prime is 21540000107. The next prime is 21540000149. The reversal of 21540000132 is 23100004512.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16606908 + ... + 16608204.

Almost surely, 221540000132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21540000132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31693421760).

21540000132 is an abundant number, since it is smaller than the sum of its proper divisors (41846843388).

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

21540000132 is a wasteful number, since it uses less digits than its factorization.

21540000132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2490 (or 2485 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 21540000132 its reverse (23100004512), we get a palindrome (44640004644).

The spelling of 21540000132 in words is "twenty-one billion, five hundred forty million, one hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 59 63 84 118 126 177 236 252 354 413 531 708 826 1062 1117 1239 1297 1652 2124 2234 2478 2594 3351 3717 3891 4468 4956 5188 6702 7434 7782 7819 9079 10053 11673 13404 14868 15564 15638 18158 20106 23346 23457 27237 31276 36316 40212 46692 46914 54474 65903 70371 76523 81711 93828 108948 131806 140742 153046 163422 197709 229569 263612 281484 306092 326844 395418 459138 461321 535661 593127 688707 790836 918276 922642 1071322 1186254 1377414 1383963 1448749 1606983 1845284 2142644 2372508 2754828 2767926 2897498 3213966 4151889 4346247 4820949 5535852 5794996 6427932 8303778 8692494 9641898 10141243 13038741 16607556 17384988 19283796 20282486 26077482 30423729 40564972 52154964 60847458 85476191 91271187 121694916 170952382 182542374 256428573 341904764 365084748 512857146 598333337 769285719 1025714292 1196666674 1538571438 1795000011 2393333348 3077142876 3590000022 5385000033 7180000044 10770000066 21540000132