Search a number
-
+
100533026020 = 22577313970769
BaseRepresentation
bin101110110100000111…
…1000011110011100100
3100121111022121212111011
41131220033003303210
53121342423313040
6114103443352004
710156205423140
oct1355017036344
9317438555434
10100533026020
11396aa2aa479
1217598382604
139632088c5b
144c19b72220
152935e283ea
hex17683c3ce4

100533026020 has 96 divisors (see below), whose sum is σ = 246347539200. Its totient is φ = 33751240704.

The previous prime is 100533025993. The next prime is 100533026039. The reversal of 100533026020 is 20620335001.

It is a junction number, because it is equal to n+sod(n) for n = 100533025982 and 100533026000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1385196 + ... + 1455964.

It is an arithmetic number, because the mean of its divisors is an integer number (2566120200).

Almost surely, 2100533026020 is an apocalyptic number.

100533026020 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 100533026020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123173769600).

100533026020 is an abundant number, since it is smaller than the sum of its proper divisors (145814513180).

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

100533026020 is a wasteful number, since it uses less digits than its factorization.

100533026020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70997 (or 70995 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The spelling of 100533026020 in words is "one hundred billion, five hundred thirty-three million, twenty-six thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 73 139 140 146 278 292 365 511 556 695 730 973 1022 1390 1460 1946 2044 2555 2780 3892 4865 5110 9730 10147 10220 19460 20294 40588 50735 70769 71029 101470 141538 142058 202940 283076 284116 353845 355145 495383 707690 710290 990766 1415380 1420580 1981532 2476915 4953830 5166137 9836891 9907660 10332274 19673782 20664548 25830685 36162959 39347564 49184455 51661370 68858237 72325918 98368910 103322740 137716474 144651836 180814795 196737820 275432948 344291185 361629590 688582370 718093043 723259180 1377164740 1436186086 2872372172 3590465215 5026651301 7180930430 10053302602 14361860860 20106605204 25133256505 50266513010 100533026020