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10101412020 = 2235747511723
BaseRepresentation
bin10010110100001011…
…10101000010110100
3222001222120220021010
421122011311002310
5131141430141040
64350204152220
7505215404550
oct113205650264
928058526233
1010101412020
114313a903a7
121b5ab38670
13c4ca0689b
146bb800860
153e1c40e80
hex25a1750b4

10101412020 has 96 divisors (see below), whose sum is σ = 33012338688. Its totient is φ = 2259764352.

The previous prime is 10101411977. The next prime is 10101412063. The reversal of 10101412020 is 2021410101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10101411977) and next prime (10101412063).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10101411987 and 10101412005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236122 + ... + 275601.

It is an arithmetic number, because the mean of its divisors is an integer number (343878528).

Almost surely, 210101412020 is an apocalyptic number.

10101412020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101412020 is an abundant number, since it is smaller than the sum of its proper divisors (22910926668).

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

10101412020 is a wasteful number, since it uses less digits than its factorization.

10101412020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511789 (or 511787 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10101412020 its reverse (2021410101), we get a palindrome (12122822121).

The spelling of 10101412020 in words is "ten billion, one hundred one million, four hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 47 60 70 84 94 105 140 141 188 210 235 282 329 420 470 564 658 705 940 987 1316 1410 1645 1974 2820 3290 3948 4935 6580 9870 19740 511723 1023446 1535169 2046892 2558615 3070338 3582061 5117230 6140676 7164122 7675845 10234460 10746183 14328244 15351690 17910305 21492366 24050981 30703380 35820610 42984732 48101962 53730915 71641220 72152943 96203924 107461830 120254905 144305886 168356867 214923660 240509810 288611772 336713734 360764715 481019620 505070601 673427468 721529430 841784335 1010141202 1443058860 1683568670 2020282404 2525353005 3367137340 5050706010 10101412020