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10032201020 = 225191131671399
BaseRepresentation
bin10010101011111011…
…10011110100111100
3221220011100121121202
421111331303310330
5131021220413040
64335252515032
7503415205322
oct112575636474
927804317552
1010032201020
114288a09126
121b3b91ba78
13c3b58322a
146b2545d12
153dab1e015
hex255f73d3c

10032201020 has 96 divisors (see below), whose sum is σ = 22522752000. Its totient is φ = 3742792704.

The previous prime is 10032200999. The next prime is 10032201029. The reversal of 10032201020 is 2010223001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10032200992 and 10032201010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032201029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7170281 + ... + 7171679.

It is an arithmetic number, because the mean of its divisors is an integer number (234612000).

Almost surely, 210032201020 is an apocalyptic number.

10032201020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10032201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11261376000).

10032201020 is an abundant number, since it is smaller than the sum of its proper divisors (12490550980).

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

10032201020 is a wasteful number, since it uses less digits than its factorization.

10032201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 10032201020 its reverse (2010223001), we get a palindrome (12042424021).

The spelling of 10032201020 in words is "ten billion, thirty-two million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 113 167 190 226 334 380 452 565 668 835 1130 1399 1670 2147 2260 2798 3173 3340 4294 5596 6346 6995 8588 10735 12692 13990 15865 18871 21470 26581 27980 31730 37742 42940 53162 63460 75484 94355 106324 132905 158087 188710 233633 265810 316174 358549 377420 467266 531620 632348 717098 790435 934532 1168165 1434196 1580870 1792745 2336330 3003653 3161740 3585490 4439027 4672660 6007306 7170980 8878054 12014612 15018265 17756108 22195135 26400529 30036530 44390270 52801058 60073060 88780540 105602116 132002645 264005290 501610051 528010580 1003220102 2006440204 2508050255 5016100510 10032201020