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10100120030 = 25711134092467
BaseRepresentation
bin10010110100000001…
…11001100111011110
3222001220011020222122
421122000321213132
5131141112320110
64350120342542
7505201414040
oct113200714736
928056136878
1010100120030
114313288740
121b5a614a52
13c4c6737b0
146bb585a90
153e1a88255
hex25a0399de

10100120030 has 128 divisors (see below), whose sum is σ = 24479400960. Its totient is φ = 2897648640.

The previous prime is 10100120027. The next prime is 10100120033. The reversal of 10100120030 is 3002100101.

10100120030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10100120027) and next prime (10100120033).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100120033) 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 63 ways as a sum of consecutive naturals, for example, 4092857 + ... + 4095323.

It is an arithmetic number, because the mean of its divisors is an integer number (191245320).

Almost surely, 210100120030 is an apocalyptic number.

10100120030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10100120030 is an abundant number, since it is smaller than the sum of its proper divisors (14379280930).

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

10100120030 is a wasteful number, since it uses less digits than its factorization.

10100120030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2914.

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 10100120030 its reverse (3002100101), we get a palindrome (13102220131).

The spelling of 10100120030 in words is "ten billion, one hundred million, one hundred twenty thousand, thirty".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 130 143 154 182 286 385 409 455 715 770 818 910 1001 1430 2002 2045 2467 2863 4090 4499 4934 5005 5317 5726 8998 10010 10634 12335 14315 17269 22495 24670 26585 27137 28630 31493 32071 34538 37219 44990 53170 54274 58487 62986 64142 74438 86345 116974 135685 157465 160355 172690 186095 189959 224497 271370 292435 314930 320710 352781 372190 379918 409409 448994 584870 705562 818818 949795 1009003 1122485 1763905 1899590 2018006 2047045 2244970 2469467 3527810 4094090 4938934 5045015 7063021 10090030 11099033 12347335 13117039 14126042 22198066 24694670 26234078 35315105 55495165 65585195 70630210 77693231 91819273 110990330 131170390 144287429 155386462 183638546 288574858 388466155 459096365 721437145 776932310 918192730 1010012003 1442874290 2020024006 5050060015 10100120030