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32130110010020 = 225111922347172373
BaseRepresentation
bin1110100111000110111111…
…10010110011001010100100
311012202121102121110221110012
413103203133302303022210
513202404431130310040
6152200211353145352
76524216035624451
oct723433762631244
9135677377427405
1032130110010020
11a26833751a140
12372b0449bb258
1314c0b195b4c19
147d1169b80828
153aaba05ea865
hex1d38dfcb32a4

32130110010020 has 144 divisors (see below), whose sum is σ = 77718670803648. Its totient is φ = 11063965720320.

The previous prime is 32130110010013. The next prime is 32130110010023. The reversal of 32130110010020 is 2001001103123.

It is a junction number, because it is equal to n+sod(n) for n = 32130110009977 and 32130110010004.

It is not an unprimeable number, because it can be changed into a prime (32130110010023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186312554 + ... + 186484926.

It is an arithmetic number, because the mean of its divisors is an integer number (539712991692).

Almost surely, 232130110010020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32130110010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38859335401824).

32130110010020 is an abundant number, since it is smaller than the sum of its proper divisors (45588560793628).

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

32130110010020 is a wasteful number, since it uses less digits than its factorization.

32130110010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174778 (or 174757 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 32130110010020 its reverse (2001001103123), we get a palindrome (34131111113143).

The spelling of 32130110010020 in words is "thirty-two trillion, one hundred thirty billion, one hundred ten million, ten thousand, twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 361 380 418 722 836 1045 1444 1805 2090 2347 3610 3971 4180 4694 7220 7942 9388 11735 15884 19855 23470 25817 39710 44593 46940 51634 79420 89186 103268 129085 172373 178372 222965 258170 344746 445930 490523 516340 689492 847267 861865 891860 981046 1694534 1723730 1896103 1962092 2452615 3275087 3389068 3447460 3792206 4236335 4905230 6550174 7584412 8472670 9319937 9480515 9810460 13100348 16375435 16945340 18639874 18961030 32750870 36025957 37279748 37922060 46599685 62226653 65501740 72051914 93199370 124453306 144103828 180129785 186398740 248906612 311133265 360259570 404559431 622266530 684493183 720519140 809118862 1244533060 1368986366 1618237724 2022797155 2737972732 3422465915 4045594310 4450153741 6844931830 7686629189 8091188620 8900307482 13689863660 15373258378 17800614964 22250768705 30746516756 38433145945 44501537410 76866291890 84552921079 89003074820 146045954591 153732583780 169105842158 292091909182 338211684316 422764605395 584183818364 730229772955 845529210790 1460459545910 1606505500501 1691058421580 2920919091820 3213011001002 6426022002004 8032527502505 16065055005010 32130110010020