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200125314252 = 22351271739371
BaseRepresentation
bin1011101001100001100…
…1011111010011001100
3201010120002002022100000
42322120121133103030
511234324040024002
6231534124004300
720313202050453
oct2723031372314
9633502068300
10200125314252
11779665826a6
1232951690690
1315b44286c16
1499869c1b9a
15531447961c
hex2e9865f4cc

200125314252 has 144 divisors (see below), whose sum is σ = 531852152832. Its totient is φ = 65793591360.

The previous prime is 200125314251. The next prime is 200125314289. The reversal of 200125314252 is 252413521002.

200125314252 is a `hidden beast` number, since 200 + 1 + 2 + 5 + 31 + 425 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (200125314251) 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, 21351127 + ... + 21360497.

It is an arithmetic number, because the mean of its divisors is an integer number (3693417728).

Almost surely, 2200125314252 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 200125314252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265926076416).

200125314252 is an abundant number, since it is smaller than the sum of its proper divisors (331726838580).

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

200125314252 is a wasteful number, since it uses less digits than its factorization.

200125314252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9690 (or 9676 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 200125314252 its reverse (252413521002), we get a palindrome (452538835254).

The spelling of 200125314252 in words is "two hundred billion, one hundred twenty-five million, three hundred fourteen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 127 162 173 243 254 324 346 381 486 508 519 692 762 972 1038 1143 1524 1557 2076 2286 3114 3429 4572 4671 6228 6858 9342 9371 10287 13716 14013 18684 18742 20574 21971 28026 28113 30861 37484 41148 42039 43942 56052 56226 61722 65913 84078 84339 87884 112452 123444 131826 168156 168678 197739 253017 263652 337356 395478 506034 593217 759051 790956 1012068 1186434 1190117 1518102 1621183 1779651 2277153 2372868 2380234 3036204 3242366 3559302 3570351 4554306 4760468 4863549 5338953 6484732 7118604 7140702 9108612 9727098 10677906 10711053 14281404 14590647 19454196 21355812 21422106 29181294 32133159 42844212 43771941 58362588 64266318 87543882 96399477 128532636 131315823 175087764 192798954 205890241 262631646 289198431 385597908 393947469 411780482 525263292 578396862 617670723 787894938 823560964 1156793724 1235341446 1575789876 1853012169 2470682892 3706024338 5559036507 7412048676 11118073014 16677109521 22236146028 33354219042 50031328563 66708438084 100062657126 200125314252