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2121023200 = 255219236067
BaseRepresentation
bin111111001101100…
…0011111011100000
312110211002010211211
41332123003323200
513320440220300
6550244515504
7103363254052
oct17633037340
95424063754
102121023200
1199929813a
124b23abb94
1327a56bc1a
1416199d8d2
15c631b4ba
hex7e6c3ee0

2121023200 has 144 divisors (see below), whose sum is σ = 5688385920. Its totient is φ = 768683520.

The previous prime is 2121023171. The next prime is 2121023213. The reversal of 2121023200 is 23201212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 346567 + ... + 352633.

It is an arithmetic number, because the mean of its divisors is an integer number (39502680).

Almost surely, 22121023200 is an apocalyptic number.

2121023200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2844192960).

2121023200 is an abundant number, since it is smaller than the sum of its proper divisors (3567362720).

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

2121023200 is a wasteful number, since it uses less digits than its factorization.

2121023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6129 (or 6116 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2121023200 is about 46054.5676344920. The cubic root of 2121023200 is about 1284.8382966593.

Adding to 2121023200 its reverse (23201212), we get a palindrome (2144224412).

The spelling of 2121023200 in words is "two billion, one hundred twenty-one million, twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 23 25 32 38 40 46 50 76 80 92 95 100 115 152 160 184 190 200 230 304 368 380 400 437 460 475 575 608 736 760 800 874 920 950 1150 1520 1748 1840 1900 2185 2300 3040 3496 3680 3800 4370 4600 6067 6992 7600 8740 9200 10925 12134 13984 15200 17480 18400 21850 24268 30335 34960 43700 48536 60670 69920 87400 97072 115273 121340 139541 151675 174800 194144 230546 242680 279082 303350 349600 461092 485360 558164 576365 606700 697705 922184 970720 1116328 1152730 1213400 1395410 1844368 2232656 2305460 2426800 2651279 2790820 2881825 3488525 3688736 4465312 4610920 4853600 5302558 5581640 5763650 6977050 9221840 10605116 11163280 11527300 13256395 13954100 18443680 21210232 22326560 23054600 26512790 27908200 42420464 46109200 53025580 55816400 66281975 84840928 92218400 106051160 111632800 132563950 212102320 265127900 424204640 530255800 1060511600 2121023200