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200132120214 = 2321337139166297
BaseRepresentation
bin1011101001100011001…
…1011100111010010110
3201010120112220002100200
42322120303130322112
511234332310321324
6231534525521330
720313313645065
oct2723063347226
9633515802320
10200132120214
117796a401064
1232953a13246
1315b457caa10
1499878741dc
155314d70ec9
hex2e98cdce96

200132120214 has 96 divisors (see below), whose sum is σ = 483049126560. Its totient is φ = 59483414016.

The previous prime is 200132120191. The next prime is 200132120219. The reversal of 200132120214 is 412021231002.

It is a happy number.

200132120214 is a `hidden beast` number, since 200 + 132 + 120 + 214 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200132120219) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1120314 + ... + 1286610.

It is an arithmetic number, because the mean of its divisors is an integer number (5031761735).

Almost surely, 2200132120214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200132120214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241524563280).

200132120214 is an abundant number, since it is smaller than the sum of its proper divisors (282917006346).

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

200132120214 is a wasteful number, since it uses less digits than its factorization.

200132120214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166494 (or 166491 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 200132120214 its reverse (412021231002), we get a palindrome (612153351216).

The spelling of 200132120214 in words is "two hundred billion, one hundred thirty-two million, one hundred twenty thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 37 39 74 78 111 117 139 222 234 278 333 417 481 666 834 962 1251 1443 1807 2502 2886 3614 4329 5143 5421 8658 10286 10842 15429 16263 30858 32526 46287 66859 92574 133718 166297 200577 332594 401154 498891 601731 997782 1203462 1496673 2161861 2993346 4323722 6152989 6485583 12305978 12971166 18458967 19456749 23115283 36917934 38913498 46230566 55376901 69345849 79988857 110753802 138691698 159977714 208037547 239966571 300498679 416075094 479933142 600997358 719899713 855265471 901496037 1439799426 1710530942 1802992074 2565796413 2704488111 5131592826 5408976222 7697389239 11118451123 15394778478 22236902246 33355353369 66710706738 100066060107 200132120214