Search a number
-
+
10213220010 = 2357316832297
BaseRepresentation
bin10011000001100000…
…10101111010101010
3222100202222022222210
421200300111322222
5131404041020020
64405240425550
7511043636430
oct114060257252
928322868883
1010213220010
1143711073a4
121b904782b6
13c69c22b66
146cc5c6d50
153eb9793e0
hex260c15eaa

10213220010 has 128 divisors (see below), whose sum is σ = 28972007424. Its totient is φ = 2254855680.

The previous prime is 10213219981. The next prime is 10213220011. The reversal of 10213220010 is 1002231201.

It is not an unprimeable number, because it can be changed into a prime (10213220011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4445182 + ... + 4447478.

It is an arithmetic number, because the mean of its divisors is an integer number (226343808).

Almost surely, 210213220010 is an apocalyptic number.

10213220010 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 10213220010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14486003712).

10213220010 is an abundant number, since it is smaller than the sum of its proper divisors (18758787414).

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

10213220010 is a wasteful number, since it uses less digits than its factorization.

10213220010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3028.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10213220010 its reverse (1002231201), we get a palindrome (11215451211).

The spelling of 10213220010 in words is "ten billion, two hundred thirteen million, two hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 62 70 93 105 155 186 210 217 310 434 465 651 683 930 1085 1302 1366 2049 2170 2297 3255 3415 4098 4594 4781 6510 6830 6891 9562 10245 11485 13782 14343 16079 20490 21173 22970 23905 28686 32158 34455 42346 47810 48237 63519 68910 71207 71715 80395 96474 105865 127038 142414 143430 148211 160790 211730 213621 241185 296422 317595 356035 427242 444633 482370 498449 635190 712070 741055 889266 996898 1068105 1482110 1495347 1568851 2136210 2223165 2492245 2990694 3137702 4446330 4706553 4984490 7476735 7844255 9413106 10981957 14953470 15688510 21963914 23532765 32945871 47065530 48634381 54909785 65891742 97268762 109819570 145903143 164729355 243171905 291806286 329458710 340440667 486343810 680881334 729515715 1021322001 1459031430 1702203335 2042644002 3404406670 5106610005 10213220010