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10148310198 = 23213374332707
BaseRepresentation
bin10010111001110001…
…01110110010110110
3222012020211120110200
421130320232302312
5131240431411243
64355001301330
7506325133125
oct113470566266
928166746420
1010148310198
114338502724
121b72794846
13c596471a0
146c3b2babc
153e5e06ad3
hex25ce2ecb6

10148310198 has 96 divisors (see below), whose sum is σ = 24384543456. Its totient is φ = 3030027264.

The previous prime is 10148310197. The next prime is 10148310251. The reversal of 10148310198 is 89101384101.

10148310198 is a `hidden beast` number, since 10 + 148 + 310 + 198 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10148310197) 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 47 ways as a sum of consecutive naturals, for example, 3747561 + ... + 3750267.

It is an arithmetic number, because the mean of its divisors is an integer number (254005661).

Almost surely, 210148310198 is an apocalyptic number.

10148310198 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10148310198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12192271728).

10148310198 is an abundant number, since it is smaller than the sum of its proper divisors (14236233258).

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

10148310198 is a wasteful number, since it uses less digits than its factorization.

10148310198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3198 (or 3195 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

Adding to 10148310198 its reverse (89101384101), we get a palindrome (99249694299).

The spelling of 10148310198 in words is "ten billion, one hundred forty-eight million, three hundred ten thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 9 13 18 26 37 39 74 78 111 117 222 234 333 433 481 666 866 962 1299 1443 2598 2707 2886 3897 4329 5414 5629 7794 8121 8658 11258 16021 16242 16887 24363 32042 33774 35191 48063 48726 50661 70382 96126 100159 101322 105573 144189 200318 208273 211146 288378 300477 316719 416546 600954 624819 633438 901431 1172131 1249638 1302067 1802862 1874457 2344262 2604134 3516393 3748914 3906201 7032786 7812402 10549179 11718603 15237703 21098358 23437206 30475406 43368847 45713109 86737694 91426218 130106541 137139327 260213082 274278654 390319623 563795011 780639246 1127590022 1691385033 3382770066 5074155099 10148310198