Search a number
-
+
21253213031022 = 234792921319467
BaseRepresentation
bin1001101010100011001100…
…01101101000101001101110
32210020210020221212200020000
410311101212031220221232
510241203040013443042
6113111331414405130
74322331301023030
oct465214615505156
983223227780200
1021253213031022
11685448975aa15
1224730220607a6
13bb22281c033b
14536937ad3c50
1526cca153a74c
hex135466368a6e

21253213031022 has 160 divisors (see below), whose sum is σ = 54516128958720. Its totient is φ = 6062323253760.

The previous prime is 21253213031021. The next prime is 21253213031087. The reversal of 21253213031022 is 22013031235212.

21253213031022 is a `hidden beast` number, since 2 + 1 + 2 + 5 + 321 + 3 + 0 + 310 + 22 = 666.

It is a super-3 number, since 3×212532130310223 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21253213031021) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2244973933 + ... + 2244983399.

It is an arithmetic number, because the mean of its divisors is an integer number (340725805992).

Almost surely, 221253213031022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21253213031022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27258064479360).

21253213031022 is an abundant number, since it is smaller than the sum of its proper divisors (33262915927698).

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

21253213031022 is a wasteful number, since it uses less digits than its factorization.

21253213031022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12548 (or 12539 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 21253213031022 its reverse (22013031235212), we get a palindrome (43266244266234).

The spelling of 21253213031022 in words is "twenty-one trillion, two hundred fifty-three billion, two hundred thirteen million, thirty-one thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 929 1134 1858 2131 2787 4262 5574 6393 6503 8361 9467 12786 13006 14917 16722 18934 19179 19509 25083 28401 29834 38358 39018 44751 50166 56802 57537 58527 66269 75249 85203 89502 115074 117054 132538 134253 150498 170406 172611 175581 198807 255609 268506 345222 351162 397614 402759 511218 526743 596421 766827 805518 1053486 1192842 1208277 1533654 1789263 1979699 2416554 3578526 3959398 5367789 5939097 8794843 10735578 11878194 13857893 17589686 17817291 20174177 26384529 27715786 35634582 40348354 41573679 52769058 53451873 60522531 61563901 79153587 83147358 106903746 121045062 123127802 124721037 141219239 158307174 160355619 181567593 184691703 237460761 249442074 282438478 320711238 363135186 369383406 374163111 423657717 474921522 544702779 554075109 712382283 748326222 847315434 1089405558 1108150218 1122489333 1270973151 1424764566 1634108337 1662225327 2244978666 2541946302 3268216674 3324450654 3812919453 4986675981 7625838906 9973351962 11438758359 18741810433 22877516718 37483620866 56225431299 112450862598 131192673031 168676293897 262385346062 337352587794 393578019093 506028881691 787156038186 1012057763382 1180734057279 1518086645073 2361468114558 3036173290146 3542202171837 7084404343674 10626606515511 21253213031022