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21405312150030 = 2335297337448717
BaseRepresentation
bin1001101110111110100000…
…00001101110101000001110
32210210022212000012111001000
410313133100001232220032
510301201034402300110
6113305244210401130
74336324406141544
oct467372001565016
983708760174030
1021405312150030
116902a3a745266
1224985ab8901a6
13bc368760c643
14540046181d94
15271c0455b1c0
hex1377d006ea0e

21405312150030 has 128 divisors (see below), whose sum is σ = 59858030851200. Its totient is φ = 5435756024832.

The previous prime is 21405312149983. The next prime is 21405312150071. The reversal of 21405312150030 is 3005121350412.

21405312150030 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 5 + 3 + 121 + 500 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21405312149976 and 21405312150003.

It is a congruent number.

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, 18152769 + ... + 19295948.

It is an arithmetic number, because the mean of its divisors is an integer number (467640866025).

Almost surely, 221405312150030 is an apocalyptic number.

21405312150030 is an abundant number, since it is smaller than the sum of its proper divisors (38452718701170).

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

21405312150030 is a wasteful number, since it uses less digits than its factorization.

21405312150030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37448835 (or 37448829 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 21405312150030 in words is "twenty-one trillion, four hundred five billion, three hundred twelve million, one hundred fifty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 73 87 90 135 145 146 174 219 261 270 290 365 435 438 522 657 730 783 870 1095 1305 1314 1566 1971 2117 2190 2610 3285 3915 3942 4234 6351 6570 7830 9855 10585 12702 19053 19710 21170 31755 38106 57159 63510 95265 114318 190530 285795 571590 37448717 74897434 112346151 187243585 224692302 337038453 374487170 561730755 674076906 1011115359 1086012793 1123461510 1685192265 2022230718 2172025586 2733756341 3258038379 3370384530 5055576795 5430063965 5467512682 6516076758 8201269023 9774115137 10111153590 10860127930 13668781705 16290191895 16402538046 19548230274 24603807069 27337563410 29322345411 32580383790 41006345115 48870575685 49207614138 58644690822 73811421207 79278933889 82012690230 97741151370 123019035345 146611727055 147622842414 158557867778 237836801667 246038070690 293223454110 369057106035 396394669445 475673603334 713510405001 738114212070 792789338890 1189184008335 1427020810002 2140531215003 2378368016670 3567552025005 4281062430006 7135104050010 10702656075015 21405312150030