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10120221010020 = 223511101151818497
BaseRepresentation
bin1001001101000100110000…
…1011011010100001100100
31022211111001121021100002010
42103101030023122201210
52311302203034310040
633305055414314220
72063106340150632
oct223211413324144
938744047240063
1010120221010020
113251a63a21250
121175449658970
13585443074c44
1426db6d966352
151283b4502e80
hex9344c2da864

10120221010020 has 96 divisors (see below), whose sum is σ = 31218741380736. Its totient is φ = 2429095936000.

The previous prime is 10120221009949. The next prime is 10120221010027. The reversal of 10120221010020 is 2001012202101.

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 = 10120221009978 and 10120221010005.

It is not an unprimeable number, because it can be changed into a prime (10120221010027) 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, 75842589 + ... + 75975908.

It is an arithmetic number, because the mean of its divisors is an integer number (325195222716).

Almost surely, 210120221010020 is an apocalyptic number.

10120221010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120221010020 is an abundant number, since it is smaller than the sum of its proper divisors (21098520370716).

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

10120221010020 is a wasteful number, since it uses less digits than its factorization.

10120221010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151818621 (or 151818619 counting only the distinct ones).

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

Adding to 10120221010020 its reverse (2001012202101), we get a palindrome (12121233212121).

The spelling of 10120221010020 in words is "ten trillion, one hundred twenty billion, two hundred twenty-one million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 101 110 132 165 202 220 303 330 404 505 606 660 1010 1111 1212 1515 2020 2222 3030 3333 4444 5555 6060 6666 11110 13332 16665 22220 33330 66660 151818497 303636994 455455491 607273988 759092485 910910982 1518184970 1670003467 1821821964 2277277455 3036369940 3340006934 4554554910 5010010401 6680013868 8350017335 9109109820 10020020802 15333668197 16700034670 20040041604 25050052005 30667336394 33400069340 46001004591 50100104010 61334672788 76668340985 92002009182 100200208020 153336681970 168670350167 184004018364 230005022955 306673363940 337340700334 460010045910 506011050501 674681400668 843351750835 920020091820 1012022101002 1686703501670 2024044202004 2530055252505 3373407003340 5060110505010 10120221010020