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2133011212200 = 23325211107727839
BaseRepresentation
bin11111000010100001011…
…000000010011110101000
321112220200012220112011200
4133002201120002132220
5234421401332242300
64311520344524200
7310051002103521
oct37024130023650
97486605815150
102133011212200
11752672249240
122a5485180660
131261b024796b
1475349c3d848
153a74039c200
hex1f0a16027a8

2133011212200 has 144 divisors (see below), whose sum is σ = 7814577513600. Its totient is φ = 517093622400.

The previous prime is 2133011212177. The next prime is 2133011212201. The reversal of 2133011212200 is 22121103312.

2133011212200 is a `hidden beast` number, since 2 + 1 + 330 + 112 + 1 + 220 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2133011212201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 53844120 + ... + 53883719.

It is an arithmetic number, because the mean of its divisors is an integer number (54267899400).

Almost surely, 22133011212200 is an apocalyptic number.

2133011212200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2133011212200 is an abundant number, since it is smaller than the sum of its proper divisors (5681566301400).

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

2133011212200 is a wasteful number, since it uses less digits than its factorization.

2133011212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107727872 (or 107727860 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2133011212200 its reverse (22121103312), we get a palindrome (2155132315512).

The spelling of 2133011212200 in words is "two trillion, one hundred thirty-three billion, eleven million, two hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 30 33 36 40 44 45 50 55 60 66 72 75 88 90 99 100 110 120 132 150 165 180 198 200 220 225 264 275 300 330 360 396 440 450 495 550 600 660 792 825 900 990 1100 1320 1650 1800 1980 2200 2475 3300 3960 4950 6600 9900 19800 107727839 215455678 323183517 430911356 538639195 646367034 861822712 969550551 1077278390 1185006229 1292734068 1615917585 1939101102 2154556780 2370012458 2585468136 2693195975 3231835170 3555018687 3878202204 4309113560 4740024916 4847752755 5386391950 5925031145 6463670340 7110037374 7756404408 8079587925 9480049832 9695505510 10665056061 10772783900 11850062290 12927340680 14220074748 16159175850 17775093435 19391011020 21330112122 21545567800 23700124580 24238763775 28440149496 29625155725 32318351700 35550186870 38782022040 42660224244 47400249160 48477527550 53325280305 59250311450 64636703400 71100373740 85320448488 88875467175 96955055100 106650560610 118500622900 142200747480 177750934350 193910110200 213301121220 237001245800 266626401525 355501868700 426602242440 533252803050 711003737400 1066505606100 2133011212200