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21000201102120 = 2335375219078263
BaseRepresentation
bin1001100011001011111011…
…00001101110001100101000
32202100121012010021222101110
410301211331201232030220
510223031402440231440
6112355205330550320
74265133363065322
oct461457541561450
982317163258343
1021000201102120
116767154058a29
122431b90a383a0
13b944061313c6
145285b5292612
152663e40c3080
hex13197d86e328

21000201102120 has 128 divisors (see below), whose sum is σ = 64827520093440. Its totient is φ = 5438242068480.

The previous prime is 21000201102107. The next prime is 21000201102137. The reversal of 21000201102120 is 2120110200012.

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 = 21000201102096 and 21000201102105.

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, 2225892 + ... + 6852371.

It is an arithmetic number, because the mean of its divisors is an integer number (506465000730).

Almost surely, 221000201102120 is an apocalyptic number.

21000201102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21000201102120 is an abundant number, since it is smaller than the sum of its proper divisors (43827318991320).

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

21000201102120 is a wasteful number, since it uses less digits than its factorization.

21000201102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9078835 (or 9078831 counting only the distinct ones).

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

Adding to 21000201102120 its reverse (2120110200012), we get a palindrome (23120311302132).

The spelling of 21000201102120 in words is "twenty-one trillion, two hundred one million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 521 555 740 888 1042 1110 1480 1563 2084 2220 2605 3126 4168 4440 5210 6252 7815 10420 12504 15630 19277 20840 31260 38554 57831 62520 77108 96385 115662 154216 192770 231324 289155 385540 462648 578310 771080 1156620 2313240 9078263 18156526 27234789 36313052 45391315 54469578 72626104 90782630 108939156 136173945 181565260 217878312 272347890 335895731 363130520 544695780 671791462 1007687193 1089391560 1343582924 1679478655 2015374386 2687165848 3358957310 4030748772 4729775023 5038435965 6717914620 8061497544 9459550046 10076871930 13435829240 14189325069 18919100092 20153743860 23648875115 28378650138 37838200184 40307487720 47297750230 56757300276 70946625345 94595500460 113514600552 141893250690 175001675851 189191000920 283786501380 350003351702 525005027553 567573002760 700006703404 875008379255 1050010055106 1400013406808 1750016758510 2100020110212 2625025137765 3500033517020 4200040220424 5250050275530 7000067034040 10500100551060 21000201102120