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10301332020 = 22357118720663
BaseRepresentation
bin10011001100000000…
…11101101000110100
3222120220202212221120
421212000131220310
5132044120111040
64422105143540
7513163606650
oct114600355064
928526685846
1010301332020
114406919241
121bb5a8abb0
13c82263645
146da1a1a60
154045817d0
hex26601da34

10301332020 has 96 divisors (see below), whose sum is σ = 32993630208. Its totient is φ = 2352492672.

The previous prime is 10301332007. The next prime is 10301332021. The reversal of 10301332020 is 2023310301.

It is a super-2 number, since 2×103013320202 (a number of 21 digits) contains 22 as substring.

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 (10301332021) 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, 488209 + ... + 508871.

It is an arithmetic number, because the mean of its divisors is an integer number (343683648).

Almost surely, 210301332020 is an apocalyptic number.

10301332020 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 10301332020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16496815104).

10301332020 is an abundant number, since it is smaller than the sum of its proper divisors (22692298188).

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

10301332020 is a wasteful number, since it uses less digits than its factorization.

10301332020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21869 (or 21867 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 10301332020 its reverse (2023310301), we get a palindrome (12324642321).

The spelling of 10301332020 in words is "ten billion, three hundred one million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 1187 2374 3561 4748 5935 7122 8309 11870 14244 16618 17805 20663 23740 24927 33236 35610 41326 41545 49854 61989 71220 82652 83090 99708 103315 123978 124635 144641 166180 206630 247956 249270 289282 309945 413260 433923 498540 578564 619890 723205 867846 1239780 1446410 1735692 2169615 2892820 4339230 8678460 24526981 49053962 73580943 98107924 122634905 147161886 171688867 245269810 294323772 343377734 367904715 490539620 515066601 686755468 735809430 858444335 1030133202 1471618860 1716888670 2060266404 2575333005 3433777340 5150666010 10301332020