Search a number
-
+
212010022011000 = 23353234130187957
BaseRepresentation
bin110000001101001001101110…
…000011010000000001111000
31000210122221220221220001220110
4300031021232003100001320
5210242033011113323000
62030524020510024320
762441134662115143
oct6015115603200170
91023587827801813
10212010022011000
1161609a44376374
121b940b674a80a0
13913b5c80a4795
143a4d4a865505a
151979d01c69850
hexc0d26e0d0078

212010022011000 has 128 divisors (see below), whose sum is σ = 661753849872960. Its totient is φ = 56511853632000.

The previous prime is 212010022010971. The next prime is 212010022011059. The reversal of 212010022011000 is 110220010212.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 8070979 + ... + 22116978.

Almost surely, 2212010022011000 is an apocalyptic number.

212010022011000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212010022011000 is an abundant number, since it is smaller than the sum of its proper divisors (449743827861960).

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

212010022011000 is a wasteful number, since it uses less digits than its factorization.

212010022011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30190322 (or 30190308 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212010022011000 its reverse (110220010212), we get a palindrome (212120242021212).

The spelling of 212010022011000 in words is "two hundred twelve trillion, ten billion, twenty-two million, eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 2341 3000 4682 7023 9364 11705 14046 18728 23410 28092 35115 46820 56184 58525 70230 93640 117050 140460 175575 234100 280920 292625 351150 468200 585250 702300 877875 1170500 1404600 1755750 2341000 3511500 7023000 30187957 60375914 90563871 120751828 150939785 181127742 241503656 301879570 362255484 452819355 603759140 724510968 754698925 905638710 1207518280 1509397850 1811277420 2264096775 3018795700 3622554840 3773494625 4528193550 6037591400 7546989250 9056387100 11320483875 15093978500 18112774200 22640967750 30187957000 45281935500 70670007337 90563871000 141340014674 212010022011 282680029348 353350036685 424020044022 565360058696 706700073370 848040088044 1060050110055 1413400146740 1696080176088 1766750183425 2120100220110 2826800293480 3533500366850 4240200440220 5300250550275 7067000733700 8480400880440 8833750917125 10600501100550 14134001467400 17667501834250 21201002201100 26501252751375 35335003668500 42402004402200 53002505502750 70670007337000 106005011005500 212010022011000