Search a number
-
+
10210442000 = 245311487953
BaseRepresentation
bin10011000001001011…
…01111101100010000
3222100120202012021112
421200211233230100
5131402333121000
64405101112452
7511011216323
oct114045575420
928316665245
1010210442000
11436a58a220
121b8b558728
13c6948c575
146cc0a27ba
153eb5cb235
hex26096fb10

10210442000 has 160 divisors (see below), whose sum is σ = 27016913664. Its totient is φ = 3701376000.

The previous prime is 10210441973. The next prime is 10210442027. The reversal of 10210442000 is 24401201.

It is an interprime number because it is at equal distance from previous prime (10210441973) and next prime (10210442027).

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, 10713524 + ... + 10714476.

Almost surely, 210210442000 is an apocalyptic number.

10210442000 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 10210442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13508456832).

10210442000 is an abundant number, since it is smaller than the sum of its proper divisors (16806471664).

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

10210442000 is a wasteful number, since it uses less digits than its factorization.

10210442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10210442000 its reverse (24401201), we get a palindrome (10234843201).

The spelling of 10210442000 in words is "ten billion, two hundred ten million, four hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 487 500 550 880 953 974 1000 1100 1375 1906 1948 2000 2200 2435 2750 3812 3896 4400 4765 4870 5357 5500 7624 7792 9530 9740 10483 10714 11000 12175 15248 19060 19480 20966 21428 22000 23825 24350 26785 38120 38960 41932 42856 47650 48700 52415 53570 60875 76240 83864 85712 95300 97400 104830 107140 119125 121750 133925 167728 190600 194800 209660 214280 238250 243500 262075 267850 381200 419320 428560 464111 476500 487000 524150 535700 669625 838640 928222 953000 974000 1048300 1071400 1310375 1339250 1856444 1906000 2096600 2142800 2320555 2620750 2678500 3712888 4193200 4641110 5105221 5241500 5357000 7425776 9282220 10210442 10483000 10714000 11602775 18564440 20420884 20966000 23205550 25526105 37128880 40841768 46411100 51052210 58013875 81683536 92822200 102104420 116027750 127630525 185644400 204208840 232055500 255261050 408417680 464111000 510522100 638152625 928222000 1021044200 1276305250 2042088400 2552610500 5105221000 10210442000