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210145534050 = 235223181336529
BaseRepresentation
bin1100001110110110100…
…1100110000001100010
3202002102101220012210210
43003231221212001202
511420334224042200
6240312312034550
721116413365324
oct3035551460142
9662371805723
10210145534050
1181138748091
1234889392a56
1316a8020386a
14a2576c9614
1556edecd650
hex30eda66062

210145534050 has 96 divisors (see below), whose sum is σ = 546826250880. Its totient is φ = 53306035200.

The previous prime is 210145534033. The next prime is 210145534057. The reversal of 210145534050 is 50435541012.

It is a super-2 number, since 2×2101455340502 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 210145533999 and 210145534017.

It is not an unprimeable number, because it can be changed into a prime (210145534057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 456186 + ... + 792714.

It is an arithmetic number, because the mean of its divisors is an integer number (5696106780).

Almost surely, 2210145534050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210145534050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273413125440).

210145534050 is an abundant number, since it is smaller than the sum of its proper divisors (336680716830).

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

210145534050 is a wasteful number, since it uses less digits than its factorization.

210145534050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336748 (or 336743 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 210145534050 in words is "two hundred ten billion, one hundred forty-five million, five hundred thirty-four thousand, fifty".

Divisors: 1 2 3 5 6 10 15 23 25 30 46 50 69 75 115 138 150 181 230 345 362 543 575 690 905 1086 1150 1725 1810 2715 3450 4163 4525 5430 8326 9050 12489 13575 20815 24978 27150 41630 62445 104075 124890 208150 312225 336529 624450 673058 1009587 1682645 2019174 3365290 5047935 7740167 8413225 10095870 15480334 16826450 23220501 25239675 38700835 46441002 50479350 60911749 77401670 116102505 121823498 182735247 193504175 232205010 304558745 365470494 387008350 580512525 609117490 913676235 1161025050 1400970227 1522793725 1827352470 2801940454 3045587450 4202910681 4568381175 7004851135 8405821362 9136762350 14009702270 21014553405 35024255675 42029106810 70048511350 105072767025 210145534050