Search a number
-
+
101405070 = 232513259113
BaseRepresentation
bin1100000101101…
…01000110001110
321001210220121100
412002311012032
5201424430240
614021243530
72340633414
oct602650616
9231726540
10101405070
1152271148
1229b635a6
1318016200
14d6792b4
158d80e30
hex60b518e

101405070 has 144 divisors (see below), whose sum is σ = 292902480. Its totient is φ = 24321024.

The previous prime is 101405053. The next prime is 101405081. The reversal of 101405070 is 70504101.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 897334 + ... + 897446.

It is an arithmetic number, because the mean of its divisors is an integer number (2034045).

Almost surely, 2101405070 is an apocalyptic number.

101405070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101405070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146451240).

101405070 is an abundant number, since it is smaller than the sum of its proper divisors (191497410).

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

101405070 is a wasteful number, since it uses less digits than its factorization.

101405070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 101405070 is about 10070.0084409101. The cubic root of 101405070 is about 466.3226994814.

Adding to 101405070 its reverse (70504101), we get a palindrome (171909171).

The spelling of 101405070 in words is "one hundred one million, four hundred five thousand, seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 59 65 78 90 113 117 118 130 169 177 195 226 234 295 338 339 354 390 507 531 565 585 590 678 767 845 885 1014 1017 1062 1130 1170 1469 1521 1534 1690 1695 1770 2034 2301 2535 2655 2938 3042 3390 3835 4407 4602 5070 5085 5310 6667 6903 7345 7605 7670 8814 9971 10170 11505 13221 13334 13806 14690 15210 19097 19942 20001 22035 23010 26442 29913 33335 34515 38194 40002 44070 49855 57291 59826 60003 66105 66670 69030 86671 89739 95485 99710 100005 114582 120006 132210 149565 171873 173342 179478 190970 200010 260013 286455 299130 300015 343746 433355 448695 520026 572910 600030 780039 859365 866710 897390 1126723 1300065 1560078 1718730 2253446 2600130 3380169 3900195 5633615 6760338 7800390 10140507 11267230 16900845 20281014 33801690 50702535 101405070