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10321132020 = 2235535575827
BaseRepresentation
bin10011001110010111…
…11111100111110100
3222122022000211102220
421213023333213310
5132114202211040
64424053402340
7513524113623
oct114713774764
928568024386
1010321132020
114417012281
1220006393b0
13c863a6a14
146dca776ba
154061932d0
hex2672ff9f4

10321132020 has 96 divisors (see below), whose sum is σ = 29502361728. Its totient is φ = 2695060992.

The previous prime is 10321131983. The next prime is 10321132027. The reversal of 10321132020 is 2023112301.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10321132027) 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, 1768347 + ... + 1774173.

It is an arithmetic number, because the mean of its divisors is an integer number (307316268).

Almost surely, 210321132020 is an apocalyptic number.

10321132020 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 10321132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14751180864).

10321132020 is an abundant number, since it is smaller than the sum of its proper divisors (19181229708).

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

10321132020 is a wasteful number, since it uses less digits than its factorization.

10321132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6449 (or 6447 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10321132020 its reverse (2023112301), we get a palindrome (12344244321).

The spelling of 10321132020 in words is "ten billion, three hundred twenty-one million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 557 636 795 1060 1114 1590 1671 2228 2785 3180 3342 5570 5827 6684 8355 11140 11654 16710 17481 23308 29135 29521 33420 34962 58270 59042 69924 87405 88563 116540 118084 147605 174810 177126 295210 308831 349620 354252 442815 590420 617662 885630 926493 1235324 1544155 1771260 1852986 3088310 3245639 3705972 4632465 6176620 6491278 9264930 9736917 12982556 16228195 18529860 19473834 32456390 38947668 48684585 64912780 97369170 172018867 194738340 344037734 516056601 688075468 860094335 1032113202 1720188670 2064226404 2580283005 3440377340 5160566010 10321132020