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2212032102000 = 24353752667431
BaseRepresentation
bin100000001100000111011…
…000110011111001110000
321211110122022122122110220
4200030013120303321300
5242220220204231000
64412105444453040
7315546134430450
oct40140730637160
97743568578426
102212032102000
117831324aa336
122b88590aa180
13130794577a16
14790c4947d60
153c8179141a0
hex20307633e70

2212032102000 has 160 divisors (see below), whose sum is σ = 8150390436864. Its totient is φ = 505607328000.

The previous prime is 2212032101999. The next prime is 2212032102037. The reversal of 2212032102000 is 2012302122.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26291716 + ... + 26375715.

Almost surely, 22212032102000 is an apocalyptic number.

2212032102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212032102000 is an abundant number, since it is smaller than the sum of its proper divisors (5938358334864).

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

2212032102000 is a wasteful number, since it uses less digits than its factorization.

2212032102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52667464 (or 52667448 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 2212032102000 its reverse (2012302122), we get a palindrome (2214044404122).

It can be divided in two parts, 22120 and 32102000, that added together give a triangular number (32124120 = T8015).

The spelling of 2212032102000 in words is "two trillion, two hundred twelve billion, thirty-two million, one hundred two thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 125 140 150 168 175 200 210 240 250 280 300 336 350 375 400 420 500 525 560 600 700 750 840 875 1000 1050 1200 1400 1500 1680 1750 2000 2100 2625 2800 3000 3500 4200 5250 6000 7000 8400 10500 14000 21000 42000 52667431 105334862 158002293 210669724 263337155 316004586 368672017 421339448 526674310 632009172 737344034 790011465 842678896 1053348620 1106016051 1264018344 1316685775 1474688068 1580022930 1843360085 2106697240 2212032102 2528036688 2633371550 2949376136 3160045860 3686720170 3950057325 4213394480 4424064204 5266743100 5530080255 5898752272 6320091720 6583428875 7373440340 7900114650 8848128408 9216800425 10533486200 11060160510 12640183440 13166857750 14746880680 15800229300 17696256816 18433600850 19750286625 21066972400 22120321020 26333715500 27650401275 29493761360 31600458600 36867201700 39500573250 44240642040 46084002125 52667431000 55300802550 63200917200 73734403400 79001146500 88481284080 92168004250 105334862000 110601605100 138252006375 147468806800 158002293000 184336008500 221203210200 276504012750 316004586000 368672017000 442406420400 553008025500 737344034000 1106016051000 2212032102000