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200643131124 = 2232195910334813
BaseRepresentation
bin1011101011011101000…
…0110011011011110100
3201011220011110010112200
42322313100303123310
511241404120143444
6232101342344500
720332060321602
oct2726720633364
9634804403480
10200643131124
11781018a9127
1232a76b8b130
1315bc7639837
1499d5694872
155344b61969
hex2eb74336f4

200643131124 has 144 divisors (see below), whose sum is σ = 543562219200. Its totient is φ = 62213847552.

The previous prime is 200643131123. The next prime is 200643131137. The reversal of 200643131124 is 421131346002.

It is a happy number.

200643131124 is a `hidden beast` number, since 2 + 0 + 0 + 643 + 1 + 3 + 1 + 12 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200643131123) 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, 41685342 + ... + 41690154.

Almost surely, 2200643131124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200643131124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271781109600).

200643131124 is an abundant number, since it is smaller than the sum of its proper divisors (342919088076).

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

200643131124 is a wasteful number, since it uses less digits than its factorization.

200643131124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5934 (or 5929 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 200643131124 its reverse (421131346002), we get a palindrome (621774477126).

The spelling of 200643131124 in words is "two hundred billion, six hundred forty-three million, one hundred thirty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 59 76 114 118 171 177 228 236 342 354 531 684 708 1033 1062 1121 2066 2124 2242 3099 3363 4132 4484 4813 6198 6726 9297 9626 10089 12396 13452 14439 18594 19252 19627 20178 28878 37188 39254 40356 43317 57756 58881 60947 78508 86634 91447 117762 121894 173268 176643 182841 182894 235524 243788 274341 283967 353286 365682 365788 548523 548682 567934 706572 731364 823023 851901 1097046 1097364 1135868 1157993 1646046 1703802 2194092 2315986 2555703 3292092 3407604 3473979 4631972 4971829 5111406 5395373 6947958 9943658 10222812 10421937 10790746 13895916 14915487 16186119 19887316 20843874 21581492 29830974 32372238 41687748 44746461 48558357 59661948 64744476 89492922 94464751 97116714 178985844 188929502 194233428 283394253 293337911 377859004 566788506 586675822 850182759 880013733 1133577012 1173351644 1700365518 1760027466 2640041199 3400731036 3520054932 5280082398 5573420309 10560164796 11146840618 16720260927 22293681236 33440521854 50160782781 66881043708 100321565562 200643131124