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10213020023232 = 263134903383449
BaseRepresentation
bin1001010010011110011101…
…1011100011100111000000
31100011100120220222122111110
42110213213123203213000
52314312231111220412
633415444023243320
72102603104562565
oct224474733434700
940140526878443
1010213020023232
1132883546063a4
12118b4278a9540
13591111a3a250
142744544ac86c
1512a9e6471d3c
hex949e76e39c0

10213020023232 has 112 divisors (see below), whose sum is σ = 29101502477600. Its totient is φ = 3142365954048.

The previous prime is 10213020023201. The next prime is 10213020023233. The reversal of 10213020023232 is 23232002031201.

It is a happy number.

10213020023232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10213020023199 and 10213020023208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10213020023233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122344644 + ... + 122428092.

It is an arithmetic number, because the mean of its divisors is an integer number (259834843550).

Almost surely, 210213020023232 is an apocalyptic number.

10213020023232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10213020023232 is an abundant number, since it is smaller than the sum of its proper divisors (18888482454368).

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

10213020023232 is a wasteful number, since it uses less digits than its factorization.

10213020023232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132510 (or 132500 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 10213020023232 its reverse (23232002031201), we get a palindrome (33445022054433).

The spelling of 10213020023232 in words is "ten trillion, two hundred thirteen billion, twenty million, twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 49033 83449 98066 147099 166898 196132 250347 294198 333796 392264 500694 588396 637429 667592 784528 1001388 1084837 1176792 1274858 1335184 1569056 1912287 2002776 2169674 2353584 2549716 2670368 3138112 3254511 3824574 4005552 4339348 4707168 5099432 5340736 6509022 7649148 8011104 8678696 9414336 10198864 13018044 15298296 16022208 17357392 20397728 26036088 30596592 34714784 40795456 52072176 61193184 69429568 104144352 122386368 208288704 4091754817 8183509634 12275264451 16367019268 24550528902 32734038536 49101057804 53192812621 65468077072 98202115608 106385625242 130936154144 159578437863 196404231216 212771250484 261872308288 319156875726 392808462432 425542500968 638313751452 785616924864 851085001936 1276627502904 1702170003872 2553255005808 3404340007744 5106510011616 10213020023232