Search a number
-
+
10211001030 = 23253111233259
BaseRepresentation
bin10011000001001111…
…11000001011000110
3222100121210121010100
421200213320023012
5131403004013110
64405121104530
7511016035206
oct114047701306
928317717110
1010211001030
11436a93122a
121b8b788146
13c69626b59
146cc1aa406
153eb68bbc0
hex2609f82c6

10211001030 has 96 divisors (see below), whose sum is σ = 27437829120. Its totient is φ = 2631942720.

The previous prime is 10211001019. The next prime is 10211001113. The reversal of 10211001030 is 3010011201.

It is a super-2 number, since 2×102110010302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 3131541 + ... + 3134799.

It is an arithmetic number, because the mean of its divisors is an integer number (285810720).

Almost surely, 210211001030 is an apocalyptic number.

10211001030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10211001030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13718914560).

10211001030 is an abundant number, since it is smaller than the sum of its proper divisors (17226828090).

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

10211001030 is a wasteful number, since it uses less digits than its factorization.

10211001030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4426 (or 4423 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10211001030 its reverse (3010011201), we get a palindrome (13221012231).

The spelling of 10211001030 in words is "ten billion, two hundred eleven million, one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1123 1395 2246 2790 3259 3369 5615 6518 6738 9777 10107 11230 16295 16845 19554 20214 29331 32590 33690 34813 48885 50535 58662 69626 97770 101029 101070 104439 146655 174065 202058 208878 293310 303087 313317 348130 505145 522195 606174 626634 909261 1010290 1044390 1515435 1566585 1818522 3030870 3133170 3659857 4546305 7319714 9092610 10979571 18299285 21959142 32938713 36598570 54897855 65877426 109795710 113455567 164693565 226911134 329387130 340366701 567277835 680733402 1021100103 1134555670 1701833505 2042200206 3403667010 5105500515 10211001030