Search a number
-
+
2021102034 = 237676431117
BaseRepresentation
bin111100001110111…
…1001000111010010
312012212001121202220
41320131321013102
513114400231114
6532315121510
7101041040520
oct17035710722
95185047686
102021102034
1194794a966
12484a43296
13262955283
141525cd310
15bc6800a9
hex787791d2

2021102034 has 64 divisors (see below), whose sum is σ = 4700107776. Its totient is φ = 567445824.

The previous prime is 2021101993. The next prime is 2021102047. The reversal of 2021102034 is 4302011202.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1808844 + ... + 1809960.

It is an arithmetic number, because the mean of its divisors is an integer number (73439184).

Almost surely, 22021102034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2021102034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2350053888).

2021102034 is an abundant number, since it is smaller than the sum of its proper divisors (2679005742).

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

2021102034 is a wasteful number, since it uses less digits than its factorization.

2021102034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2021102034 is about 44956.6684041422. The cubic root of 2021102034 is about 1264.3367057020.

Adding to 2021102034 its reverse (4302011202), we get a palindrome (6323113236).

The spelling of 2021102034 in words is "two billion, twenty-one million, one hundred two thousand, thirty-four".

Divisors: 1 2 3 6 7 14 21 42 67 134 201 402 469 643 938 1117 1286 1407 1929 2234 2814 3351 3858 4501 6702 7819 9002 13503 15638 23457 27006 43081 46914 74839 86162 129243 149678 224517 258486 301567 449034 523873 603134 718231 904701 1047746 1436462 1571619 1809402 2154693 3143238 4309386 5027617 10055234 15082851 30165702 48121477 96242954 144364431 288728862 336850339 673700678 1010551017 2021102034