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20233000130310 = 232511213613136483
BaseRepresentation
bin1001001100110110111001…
…10010010001011100000110
32122122020220120022111121200
410212123130302101130012
510122444141013132220
6111010524551323330
74155533414322222
oct446333462213406
978566816274550
1020233000130310
1164a0849111600
12232935a980546
13b39c6b3c6926
144dd3d4dc5782
15251490501890
hex1266dcc91706

20233000130310 has 144 divisors (see below), whose sum is σ = 57827575823472. Its totient is φ = 4904573477760.

The previous prime is 20233000130309. The next prime is 20233000130327. The reversal of 20233000130310 is 1303100033202.

20233000130310 is a `hidden beast` number, since 2 + 0 + 23 + 300 + 0 + 1 + 30 + 310 = 666.

It is a super-2 number, since 2×202330001303102 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 148177329 + ... + 148313811.

It is an arithmetic number, because the mean of its divisors is an integer number (401580387663).

Almost surely, 220233000130310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20233000130310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28913787911736).

20233000130310 is an abundant number, since it is smaller than the sum of its proper divisors (37594575693162).

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

20233000130310 is a wasteful number, since it uses less digits than its factorization.

20233000130310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150131 (or 150117 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 20233000130310 its reverse (1303100033202), we get a palindrome (21536100163512).

The spelling of 20233000130310 in words is "twenty trillion, two hundred thirty-three billion, one hundred thirty thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 605 726 990 1089 1210 1815 2178 3630 5445 10890 13613 27226 40839 68065 81678 122517 136130 136483 149743 204195 245034 272966 299486 408390 409449 449229 612585 682415 748715 818898 898458 1225170 1228347 1347687 1364830 1497430 1501313 1647173 2047245 2246145 2456694 2695374 3002626 3294346 4094490 4492290 4503939 4941519 6141735 6738435 7506565 8235865 9007878 9883038 12283470 13476870 13511817 14824557 15013130 16471730 16514443 22519695 24707595 27023634 29649114 33028886 45039390 49415190 49543329 67559085 74122785 82572215 99086658 135118170 148245570 148629987 165144430 247716645 297259974 495433290 743149935 1486299870 1857943079 3715886158 5573829237 9289715395 11147658474 16721487711 18579430790 20437373869 27869146185 33442975422 40874747738 55738292370 61312121607 83607438555 102186869345 122624243214 167214877110 183936364821 204373738690 224811112559 306560608035 367872729642 449622225118 613121216070 674433337677 919681824105 1124055562795 1348866675354 1839363648210 2023300013031 2248111125590 3372166688385 4046600026062 6744333376770 10116500065155 20233000130310