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20213410014 = 23272292512791
BaseRepresentation
bin10010110100110100…
…000010100011011110
31221011201002121202100
4102310310002203132
5312344113110024
613141431305530
71313623102350
oct226464024336
957151077670
1020213410014
118632a41136
123b0151b2a6
131ba1978955
14d9a7990d0
157d48737c9
hex4b4d028de

20213410014 has 96 divisors (see below), whose sum is σ = 50489187840. Its totient is φ = 5725080000.

The previous prime is 20213410003. The next prime is 20213410033. The reversal of 20213410014 is 41001431202.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7240959 + ... + 7243749.

It is an arithmetic number, because the mean of its divisors is an integer number (525929040).

Almost surely, 220213410014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20213410014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25244593920).

20213410014 is an abundant number, since it is smaller than the sum of its proper divisors (30275777826).

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

20213410014 is a wasteful number, since it uses less digits than its factorization.

20213410014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3286 (or 3283 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20213410014 its reverse (41001431202), we get a palindrome (61214841216).

The spelling of 20213410014 in words is "twenty billion, two hundred thirteen million, four hundred ten thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 229 251 458 502 687 753 1374 1506 1603 1757 2061 2259 2791 3206 3514 4122 4518 4809 5271 5582 8373 9618 10542 14427 15813 16746 19537 25119 28854 31626 39074 50238 57479 58611 114958 117222 172437 175833 344874 351666 402353 517311 639139 700541 804706 1034622 1207059 1278278 1401082 1917417 2101623 2414118 3621177 3834834 4203246 4473973 4903787 5752251 6304869 7242354 8947946 9807574 11504502 12609738 13421919 14711361 26843838 29422722 40265757 44134083 80531514 88268166 160423889 320847778 481271667 962543334 1122967223 1443815001 2245934446 2887630002 3368901669 6737803338 10106705007 20213410014