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101442420 = 2232523107229
BaseRepresentation
bin1100000101111…
…10001101110100
321001212210211200
412002332031310
5201432124140
614022132500
72341150332
oct602761564
9231783750
10101442420
1152297212
1229b81130
131802a201
14d688b52
158d8c030
hex60be374

101442420 has 144 divisors (see below), whose sum is σ = 325503360. Its totient is φ = 25521408.

The previous prime is 101442413. The next prime is 101442421. The reversal of 101442420 is 24244101.

Added to its reverse (24244101) it gives a square (125686521 = 112112).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101442393 and 101442402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101442421) 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, 442866 + ... + 443094.

It is an arithmetic number, because the mean of its divisors is an integer number (2260440).

Almost surely, 2101442420 is an apocalyptic number.

101442420 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 101442420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162751680).

101442420 is an abundant number, since it is smaller than the sum of its proper divisors (224060940).

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

101442420 is a wasteful number, since it uses less digits than its factorization.

101442420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 101442420 is about 10071.8627869923. The cubic root of 101442420 is about 466.3799451887.

Adding to 101442420 its reverse (24244101), we get a palindrome (125686521).

It can be divided in two parts, 1014 and 42420, that added together give a palindrome (43434).

The spelling of 101442420 in words is "one hundred one million, four hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 107 115 138 180 207 214 229 230 276 321 345 414 428 458 460 535 642 687 690 828 916 963 1035 1070 1145 1284 1374 1380 1605 1926 2061 2070 2140 2290 2461 2748 3210 3435 3852 4122 4140 4580 4815 4922 5267 6420 6870 7383 8244 9630 9844 10305 10534 12305 13740 14766 15801 19260 20610 21068 22149 24503 24610 26335 29532 31602 36915 41220 44298 47403 49006 49220 52670 63204 73509 73830 79005 88596 94806 98012 105340 110745 122515 147018 147660 158010 189612 220527 221490 237015 245030 294036 316020 367545 441054 442980 474030 490060 563569 735090 882108 948060 1102635 1127138 1470180 1690707 2205270 2254276 2817845 3381414 4410540 5072121 5635690 6762828 8453535 10144242 11271380 16907070 20288484 25360605 33814140 50721210 101442420