Search a number
-
+
101141013003140 = 225114391047225233
BaseRepresentation
bin10110111111110010111010…
…001001101111101110000100
3111021002222122002120201120202
4112333302322021233232010
5101224043243312100030
6555035312343150032
730206124405506435
oct2677627211575604
9437088562521522
10101141013003140
112a254732110490
12b415980745318
134458730b143c6
141ad937321b48c
15ba5d9ab56745
hex5bfcba26fb84

101141013003140 has 48 divisors (see below), whose sum is σ = 232232667891840. Its totient is φ = 36694772129280.

The previous prime is 101141013003139. The next prime is 101141013003143. The reversal of 101141013003140 is 41300310141101.

It is a super-2 number, since 2×1011410130031402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (101141013003143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 523516037 + ... + 523709196.

It is an arithmetic number, because the mean of its divisors is an integer number (4838180581080).

Almost surely, 2101141013003140 is an apocalyptic number.

101141013003140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101141013003140 is an abundant number, since it is smaller than the sum of its proper divisors (131091654888700).

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

101141013003140 is a wasteful number, since it uses less digits than its factorization.

101141013003140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047225692 (or 1047225690 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 101141013003140 its reverse (41300310141101), we get a palindrome (142441323144241).

The spelling of 101141013003140 in words is "one hundred one trillion, one hundred forty-one billion, thirteen million, three thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 439 878 1756 2195 4390 4829 8780 9658 19316 24145 48290 96580 1047225233 2094450466 4188900932 5236126165 10472252330 11519477563 20944504660 23038955126 46077910252 57597387815 115194775630 230389551260 459731877287 919463754574 1838927509148 2298659386435 4597318772870 5057050650157 9194637545740 10114101300314 20228202600628 25285253250785 50570506501570 101141013003140