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203411340200 = 23524140161861
BaseRepresentation
bin1011110101110001000…
…0101011101110101000
3201110001002022201111202
42331130100223232220
511313041300341300
6233240150543332
720460502602155
oct2753420535650
9643032281452
10203411340200
11792a2442622
123350a067b48
1316248cb5883
149bb91a122c
155457bbbad5
hex2f5c42bba8

203411340200 has 96 divisors (see below), whose sum is σ = 485682273720. Its totient is φ = 79180800000.

The previous prime is 203411340151. The next prime is 203411340217. The reversal of 203411340200 is 2043114302.

It can be written as a sum of positive squares in 12 ways, for example, as 13843404964 + 189567935236 = 117658^2 + 435394^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3257270 + ... + 3319130.

Almost surely, 2203411340200 is an apocalyptic number.

203411340200 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 203411340200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242841136860).

203411340200 is an abundant number, since it is smaller than the sum of its proper divisors (282270933520).

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

203411340200 is a wasteful number, since it uses less digits than its factorization.

203411340200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62319 (or 62310 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 203411340200 its reverse (2043114302), we get a palindrome (205454454502).

The spelling of 203411340200 in words is "two hundred three billion, four hundred eleven million, three hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 401 410 802 820 1025 1604 1640 2005 2050 3208 4010 4100 8020 8200 10025 16040 16441 20050 32882 40100 61861 65764 80200 82205 123722 131528 164410 247444 309305 328820 411025 494888 618610 657640 822050 1237220 1546525 1644100 2474440 2536301 3093050 3288200 5072602 6186100 10145204 12372200 12681505 20290408 24806261 25363010 49612522 50726020 63407525 99225044 101452040 124031305 126815050 198450088 248062610 253630100 496125220 507260200 620156525 992250440 1017056701 1240313050 2034113402 2480626100 4068226804 4961252200 5085283505 8136453608 10170567010 20341134020 25426417525 40682268040 50852835050 101705670100 203411340200