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2053101006 = 234111676899
BaseRepresentation
bin111101001011111…
…1101010111001110
312022002021100010000
41322113331113032
513201043213011
6535421025130
7101610033135
oct17227752716
95262240100
102053101006
11963a161a0
124936b51a6
1326947a088
1415695c91c
15c03a1356
hex7a5fd5ce

2053101006 has 80 divisors (see below), whose sum is σ = 5049475200. Its totient is φ = 618336720.

The previous prime is 2053100989. The next prime is 2053101019. The reversal of 2053101006 is 6001013502.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2053101006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 294145 + ... + 301043.

It is an arithmetic number, because the mean of its divisors is an integer number (63118440).

Almost surely, 22053101006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2053101006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2524737600).

2053101006 is an abundant number, since it is smaller than the sum of its proper divisors (2996374194).

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

2053101006 is a wasteful number, since it uses less digits than its factorization.

2053101006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7091 (or 7082 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 2053101006 is about 45311.1576325302. The cubic root of 2053101006 is about 1270.9743088695.

Adding to 2053101006 its reverse (6001013502), we get a palindrome (8054114508).

The spelling of 2053101006 in words is "two billion, fifty-three million, one hundred one thousand, six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 167 198 297 334 501 594 891 1002 1503 1782 1837 3006 3674 4509 5511 6899 9018 11022 13527 13798 16533 20697 27054 33066 41394 49599 62091 75889 99198 124182 148797 151778 186273 227667 297594 372546 455334 558819 683001 1117638 1152133 1366002 2049003 2304266 3456399 4098006 6147009 6912798 10369197 12294018 12673463 20738394 25346926 31107591 38020389 62215182 76040778 93322773 114061167 186645546 228122334 342183501 684367002 1026550503 2053101006