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21142101330 = 2335719158567
BaseRepresentation
bin10011101100001010…
…101101110101010010
32000120102121000202000
4103230022231311102
5321244334220310
613413524334430
71345630616250
oct235412556522
960512530660
1021142101330
118a6a18a719
124120544416
131cbc1a973c
141047c635d0
1583b16b4c0
hex4ec2add52

21142101330 has 128 divisors (see below), whose sum is σ = 64771522560. Its totient is φ = 4807097280.

The previous prime is 21142101319. The next prime is 21142101349. The reversal of 21142101330 is 3310124112.

21142101330 is a `hidden beast` number, since 211 + 421 + 0 + 1 + 3 + 30 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 331707 + ... + 390273.

It is an arithmetic number, because the mean of its divisors is an integer number (506027520).

Almost surely, 221142101330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21142101330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32385761280).

21142101330 is an abundant number, since it is smaller than the sum of its proper divisors (43629421230).

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

21142101330 is a wasteful number, since it uses less digits than its factorization.

21142101330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58781 (or 58775 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21142101330 its reverse (3310124112), we get a palindrome (24452225442).

The spelling of 21142101330 in words is "twenty-one billion, one hundred forty-two million, one hundred one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 191 210 270 315 378 382 573 630 945 955 1146 1337 1719 1890 1910 2674 2865 3438 4011 5157 5730 6685 8022 8595 10314 12033 13370 17190 20055 24066 25785 36099 40110 51570 58567 60165 72198 117134 120330 175701 180495 292835 351402 360990 409969 527103 585670 819938 878505 1054206 1229907 1581309 1757010 2049845 2459814 2635515 3162618 3689721 4099690 5271030 6149535 7379442 7906545 11069163 11186297 12299070 15813090 18448605 22138326 22372594 33558891 36897210 55345815 55931485 67117782 78304079 100676673 110691630 111862970 156608158 167794455 201353346 234912237 302030019 335588910 391520395 469824474 503383365 604060038 704736711 783040790 1006766730 1174561185 1409473422 1510150095 2114210133 2349122370 3020300190 3523683555 4228420266 7047367110 10571050665 21142101330