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2150201056200 = 233524122131867
BaseRepresentation
bin11111010010100001111…
…110000101101111001000
321121120001012122002002120
4133102201332011233020
5240212102432244300
64323442210531240
7311226662263011
oct37224176055710
97546035562076
102150201056200
1175999349348a
122a8881b96b20
131279bc67a7a2
14760dac1a008
153ade95743a0
hex1f4a1f85bc8

2150201056200 has 144 divisors (see below), whose sum is σ = 6832167929040. Its totient is φ = 559401638400.

The previous prime is 2150201056193. The next prime is 2150201056219. The reversal of 2150201056200 is 26501020512.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 57334 + ... + 2074533.

Almost surely, 22150201056200 is an apocalyptic number.

2150201056200 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 2150201056200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3416083964520).

2150201056200 is an abundant number, since it is smaller than the sum of its proper divisors (4681966872840).

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

2150201056200 is a wasteful number, since it uses less digits than its factorization.

2150201056200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2131968 (or 2131918 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 2150201056200 its reverse (26501020512), we get a palindrome (2176702076712).

The spelling of 2150201056200 in words is "two trillion, one hundred fifty billion, two hundred one million, fifty-six thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 41 50 60 75 82 100 120 123 150 164 200 205 246 300 328 410 492 600 615 820 984 1025 1230 1640 1681 2050 2460 3075 3362 4100 4920 5043 6150 6724 8200 8405 10086 12300 13448 16810 20172 24600 25215 33620 40344 42025 50430 67240 84050 100860 126075 168100 201720 252150 336200 504300 1008600 2131867 4263734 6395601 8527468 10659335 12791202 17054936 21318670 25582404 31978005 42637340 51164808 53296675 63956010 85274680 87406547 106593350 127912020 159890025 174813094 213186700 255824040 262219641 319780050 349626188 426373400 437032735 524439282 639560100 699252376 874065470 1048878564 1279120200 1311098205 1748130940 2097757128 2185163675 2622196410 3496261880 3583668427 4370327350 5244392820 6555491025 7167336854 8740654700 10488785640 10751005281 13110982050 14334673708 17481309400 17918342135 21502010562 26221964100 28669347416 35836684270 43004021124 52443928200 53755026405 71673368540 86008042248 89591710675 107510052810 143346737080 179183421350 215020105620 268775132025 358366842700 430040211240 537550264050 716733685400 1075100528100 2150201056200