Search a number
-
+
200021211078 = 231321935329411
BaseRepresentation
bin1011101001001000110…
…0010111011111000110
3201010021211012022121220
42322102030113133012
511234120412223303
6231515524421210
720310466145613
oct2722214273706
9633254168556
10200021211078
1177912839417
1232922847806
1315b28837900
149976c4350a
15530a264053
hex2e923177c6

200021211078 has 96 divisors (see below), whose sum is σ = 457288364160. Its totient is φ = 58138629120.

The previous prime is 200021210959. The next prime is 200021211079. The reversal of 200021211078 is 870112120002.

It is a super-2 number, since 2×2000212110782 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200021211079) 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, 6786193 + ... + 6815603.

It is an arithmetic number, because the mean of its divisors is an integer number (4763420460).

Almost surely, 2200021211078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200021211078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228644182080).

200021211078 is an abundant number, since it is smaller than the sum of its proper divisors (257267153082).

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

200021211078 is a wasteful number, since it uses less digits than its factorization.

200021211078 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29814 (or 29801 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The spelling of 200021211078 in words is "two hundred billion, twenty-one million, two hundred eleven thousand, seventy-eight".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 169 247 338 353 494 507 706 741 1014 1059 1482 2118 3211 4589 6422 6707 9178 9633 13414 13767 19266 20121 27534 29411 40242 58822 59657 87191 88233 119314 174382 176466 178971 261573 357942 382343 523146 558809 764686 1117618 1133483 1147029 1676427 2266966 2294058 3352854 3400449 4970459 6800898 7264517 9940918 10382083 14529034 14911377 20764166 21793551 29822754 31146249 43587102 62292498 94438721 134967079 188877442 197259577 269934158 283316163 394519154 404901237 566632326 591778731 809802474 1183557462 1754572027 2564374501 3509144054 5128749002 5263716081 7693123503 10527432162 15386247006 33336868513 66673737026 100010605539 200021211078