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10300001002020 = 22325379227167611
BaseRepresentation
bin1001010111100010011111…
…1001101010001000100100
31100110200002210001012002100
42111320213321222020210
52322223400224031040
633523431035412100
72112102424652202
oct225704771521044
940420083035070
1010300001002020
11331122a055134
1211a42615b4030
13599394248232
14278746452072
1512cdd774db30
hex95e27e6a224

10300001002020 has 144 divisors (see below), whose sum is σ = 32091419924928. Its totient is φ = 2672127118080.

The previous prime is 10300001002003. The next prime is 10300001002021. The reversal of 10300001002020 is 2020010000301.

It is a happy number.

It is a super-2 number, since 2×103000010020202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10300001001993 and 10300001002011.

It is not an unprimeable number, because it can be changed into a prime (10300001002021) 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, 61368015 + ... + 61535625.

It is an arithmetic number, because the mean of its divisors is an integer number (222857082812).

Almost surely, 210300001002020 is an apocalyptic number.

10300001002020 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 10300001002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16045709962464).

10300001002020 is an abundant number, since it is smaller than the sum of its proper divisors (21791418922908).

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

10300001002020 is a wasteful number, since it uses less digits than its factorization.

10300001002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176890 (or 176885 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10300001002020 its reverse (2020010000301), we get a palindrome (12320011002321).

The spelling of 10300001002020 in words is "ten trillion, three hundred billion, one million, two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 9227 18454 27681 36908 46135 55362 83043 92270 110724 138405 166086 167611 184540 276810 332172 335222 341399 415215 502833 553620 670444 682798 830430 838055 1005666 1024197 1365596 1508499 1660860 1676110 1706995 2011332 2048394 2514165 3016998 3072591 3352220 3413990 4096788 5028330 5120985 6033996 6145182 6201607 6827980 7542495 10056660 10241970 12290364 12403214 15084990 15362955 18604821 20483940 24806428 30169980 30725910 31008035 37209642 55814463 61451820 62016070 74419284 93024105 111628926 124032140 186048210 223257852 279072315 372096420 558144630 1116289260 1546546697 3093093394 4639640091 6186186788 7732733485 9279280182 13918920273 15465466970 18558560364 23198200455 27837840546 30930933940 46396400910 55675681092 57222227789 69594601365 92792801820 114444455578 139189202730 171666683367 228888911156 278378405460 286111138945 343333366734 515000050101 572222277890 686666733468 858333416835 1030000100202 1144444555780 1716666833670 2060000200404 2575000250505 3433333667340 5150000501010 10300001002020