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2100000123330 = 235376140197717
BaseRepresentation
bin11110100011110001110…
…000101110100111000010
321102202110121201110101120
4132203301300232213002
5233401300012421310
64244420550413110
7304501650346104
oct36436160564702
97382417643346
102100000123330
1173a67236060a
1229abb1961196
1312304c0b7c95
14738d7943574
153995c23db70
hex1e8f1c2e9c2

2100000123330 has 128 divisors (see below), whose sum is σ = 5263063499520. Its totient is φ = 535729904640.

The previous prime is 2100000123307. The next prime is 2100000123343. The reversal of 2100000123330 is 333210000012.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon 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, 272122632 + ... + 272130348.

It is an arithmetic number, because the mean of its divisors is an integer number (41117683590).

Almost surely, 22100000123330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100000123330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2631531749760).

2100000123330 is an abundant number, since it is smaller than the sum of its proper divisors (3163063376190).

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

2100000123330 is a wasteful number, since it uses less digits than its factorization.

2100000123330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11844.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 2100000123330 its reverse (333210000012), we get a palindrome (2433210123342).

The spelling of 2100000123330 in words is "two trillion, one hundred billion, one hundred twenty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 61 74 111 122 183 185 222 305 366 370 555 610 915 1110 1830 2257 4019 4514 6771 7717 8038 11285 12057 13542 15434 20095 22570 23151 24114 33855 38585 40190 46302 60285 67710 77170 115755 120570 148703 231510 245159 285529 297406 446109 470737 490318 571058 735477 743515 856587 892218 941474 1225795 1412211 1427645 1470954 1487030 1713174 2230545 2353685 2451590 2824422 2855290 3677385 4282935 4461090 4707370 7061055 7354770 8565870 9070883 14122110 17417269 18141766 27212649 31014623 34834538 45354415 52251807 54425298 62029246 87086345 90708830 93043869 104503614 136063245 155073115 174172690 186087738 261259035 272126490 310146230 465219345 522518070 930438690 1147541051 1891892003 2295082102 3442623153 3783784006 5675676009 5737705255 6885246306 9459460015 11351352018 11475410510 17213115765 18918920030 28378380045 34426231530 56756760090 70000004111 140000008222 210000012333 350000020555 420000024666 700000041110 1050000061665 2100000123330