Search a number
-
+
21321223020312 = 23319318318172199
BaseRepresentation
bin1001101100100001110111…
…11011001001111100011000
32210111021210200200002121020
410312100323323021330120
510243311331043122222
6113202500140442440
74330256532264135
oct466207373117430
983437720602536
1021321223020312
116880309608536
122484242549420
13bb877627a357
14539d4a2d158c
1526e9320ad65c
hex13643bec9f18

21321223020312 has 128 divisors (see below), whose sum is σ = 58616248320000. Its totient is φ = 6437319419520.

The previous prime is 21321223020277. The next prime is 21321223020313. The reversal of 21321223020312 is 21302032212312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21321223020313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7912812 + ... + 10259387.

It is an arithmetic number, because the mean of its divisors is an integer number (457939440000).

Almost surely, 221321223020312 is an apocalyptic number.

It is an amenable number.

21321223020312 is an abundant number, since it is smaller than the sum of its proper divisors (37295025299688).

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

21321223020312 is a wasteful number, since it uses less digits than its factorization.

21321223020312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18172341 (or 18172337 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 21321223020312 its reverse (21302032212312), we get a palindrome (42623255232624).

The spelling of 21321223020312 in words is "twenty-one trillion, three hundred twenty-one billion, two hundred twenty-three million, twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 31 38 57 62 76 83 93 114 124 152 166 186 228 248 249 332 372 456 498 589 664 744 996 1178 1577 1767 1992 2356 2573 3154 3534 4712 4731 5146 6308 7068 7719 9462 10292 12616 14136 15438 18924 20584 30876 37848 48887 61752 97774 146661 195548 293322 391096 586644 1173288 18172199 36344398 54516597 72688796 109033194 145377592 218066388 345271781 436132776 563338169 690543562 1035815343 1126676338 1381087124 1508292517 1690014507 2071630686 2253352676 2762174248 3016585034 3380029014 4143261372 4506705352 4524877551 6033170068 6760058028 8286522744 9049755102 10703425211 12066340136 13520116056 18099510204 21406850422 28657557823 32110275633 36199020408 42813700844 46757068027 57315115646 64220551266 85627401688 85972673469 93514136054 114630231292 128441102532 140271204081 171945346938 187028272108 229260462584 256882205064 280542408162 343890693876 374056544216 561084816324 687781387752 888384292513 1122169632648 1776768585026 2665152877539 3553537170052 5330305755078 7107074340104 10660611510156 21321223020312