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10101000420 = 22325718774271
BaseRepresentation
bin10010110100001000…
…10000100011100100
3222001221210222122200
421122010100203210
5131141324003140
64350151254500
7505212041550
oct113204204344
928057728580
1010101000420
11431382a135
121b5a97a430
13c4c8c1434
146bb734860
153e1bae030
hex25a1108e4

10101000420 has 144 divisors (see below), whose sum is σ = 35043660288. Its totient is φ = 2307029760.

The previous prime is 10101000397. The next prime is 10101000439. The reversal of 10101000420 is 2400010101.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2362885 + ... + 2367155.

It is an arithmetic number, because the mean of its divisors is an integer number (243358752).

Almost surely, 210101000420 is an apocalyptic number.

10101000420 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 10101000420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17521830144).

10101000420 is an abundant number, since it is smaller than the sum of its proper divisors (24942659868).

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

10101000420 is a wasteful number, since it uses less digits than its factorization.

10101000420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6170 (or 6165 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10101000420 its reverse (2400010101), we get a palindrome (12501010521).

The spelling of 10101000420 in words is "ten billion, one hundred one million, four hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 1877 3754 4271 5631 7508 8542 9385 11262 12813 13139 16893 17084 18770 21355 22524 25626 26278 28155 29897 33786 37540 38439 39417 42710 51252 52556 56310 59794 64065 65695 67572 76878 78834 84465 85420 89691 112620 118251 119588 128130 131390 149485 153756 157668 168930 179382 192195 197085 236502 256260 262780 269073 298970 337860 358764 384390 394170 448455 473004 538146 591255 597940 768780 788340 896910 1076292 1182510 1345365 1793820 2365020 2690730 5381460 8016667 16033334 24050001 32066668 40083335 48100002 56116669 72150003 80166670 96200004 112233338 120250005 144300006 160333340 168350007 224466676 240500010 280583345 288600012 336700014 360750015 481000020 505050021 561166690 673400028 721500030 841750035 1010100042 1122333380 1443000060 1683500070 2020200084 2525250105 3367000140 5050500210 10101000420