Search a number
-
+
211003451345500 = 22531140195671481
BaseRepresentation
bin101111111110100000010001…
…110000111000101001011100
31000200002201210022121020211221
4233332200101300320221130
5210124040032021024000
62024433351455223124
762305332140456002
oct5776402160705134
91020081708536757
10211003451345500
1161261074488210
121b7b9a70b17aa4
1390977037456b8
143a1689b6d0a72
15195da3d74461a
hexbfe811c38a5c

211003451345500 has 96 divisors (see below), whose sum is σ = 503978998251456. Its totient is φ = 76537184000000.

The previous prime is 211003451345473. The next prime is 211003451345501. The reversal of 211003451345500 is 5543154300112.

211003451345500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211003451345501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45630241 + ... + 50041240.

It is an arithmetic number, because the mean of its divisors is an integer number (5249781231786).

Almost surely, 2211003451345500 is an apocalyptic number.

211003451345500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211003451345500 is an abundant number, since it is smaller than the sum of its proper divisors (292975546905956).

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

211003451345500 is a wasteful number, since it uses less digits than its factorization.

211003451345500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95671912 (or 95671900 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

The spelling of 211003451345500 in words is "two hundred eleven trillion, three billion, four hundred fifty-one million, three hundred forty-five thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 125 220 250 275 401 500 550 802 1100 1375 1604 2005 2750 4010 4411 5500 8020 8822 10025 17644 20050 22055 40100 44110 50125 88220 100250 110275 200500 220550 441100 551375 1102750 2205500 95671481 191342962 382685924 478357405 956714810 1052386291 1913429620 2104772582 2391787025 4209545164 4783574050 5261931455 9567148100 10523862910 11958935125 21047725820 23917870250 26309657275 38364263881 47835740500 52619314550 76728527762 105238629100 131548286375 153457055524 191821319405 263096572750 383642638810 422006902691 526193145500 767285277620 844013805382 959106597025 1688027610764 1918213194050 2110034513455 3836426388100 4220069026910 4795532985125 8440138053820 9591065970250 10550172567275 19182131940500 21100345134550 42200690269100 52750862836375 105501725672750 211003451345500