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200034424100 = 22527747738219
BaseRepresentation
bin1011101001001011111…
…0110001010100100100
3201010022202001121111002
42322102332301110210
511234132303032400
6231521115532432
720311016356550
oct2722276612444
9633282047432
10200034424100
117791a243575
123292715a118
1315b2b4b2a74
1499788c2860
15530b4c3ed5
hex2e92fb1524

200034424100 has 72 divisors (see below), whose sum is σ = 496164701760. Its totient is φ = 68572264320.

The previous prime is 200034424099. The next prime is 200034424103. The reversal of 200034424100 is 1424430002.

200034424100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (200034424103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5214791 + ... + 5253009.

Almost surely, 2200034424100 is an apocalyptic number.

200034424100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200034424100 is an abundant number, since it is smaller than the sum of its proper divisors (296130277660).

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

200034424100 is a wasteful number, since it uses less digits than its factorization.

200034424100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45717 (or 45710 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 200034424100 its reverse (1424430002), we get a palindrome (201458854102).

The spelling of 200034424100 in words is "two hundred billion, thirty-four million, four hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 7477 14954 29908 37385 38219 52339 74770 76438 104678 149540 152876 186925 191095 209356 261695 267533 373850 382190 523390 535066 747700 764380 955475 1046780 1070132 1308475 1337665 1910950 2616950 2675330 3821900 5233900 5350660 6688325 13376650 26753300 285763463 571526926 1143053852 1428817315 2000344241 2857634630 4000688482 5715269260 7144086575 8001376964 10001721205 14288173150 20003442410 28576346300 40006884820 50008606025 100017212050 200034424100