Search a number
-
+
100220120 = 235711132503
BaseRepresentation
bin1011111100100…
…11110011011000
320222120201011022
411332103303120
5201124020440
613540022012
72324566640
oct576236330
9228521138
10100220120
1151631950
1229691908
13179bca60
14d44b520
158be9cb5
hex5f93cd8

100220120 has 128 divisors (see below), whose sum is σ = 302883840. Its totient is φ = 28823040.

The previous prime is 100220119. The next prime is 100220129. The reversal of 100220120 is 21022001.

Adding to 100220120 its reverse (21022001), we get a palindrome (121242121).

100220120 = 23 + 33 + ... + 1413.

It is a Cunningham number, because it is equal to 100112-1.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 100220098 and 100220107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100220129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38789 + ... + 41291.

It is an arithmetic number, because the mean of its divisors is an integer number (2366280).

Almost surely, 2100220120 is an apocalyptic number.

100220120 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 100220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151441920).

100220120 is an abundant number, since it is smaller than the sum of its proper divisors (202663720).

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

100220120 is a wasteful number, since it uses less digits than its factorization.

100220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2545 (or 2541 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 100220120 is about 10010.9999500549. Note that the first 4 decimals coincide. The cubic root of 100220120 is about 464.4992026244.

The spelling of 100220120 in words is "one hundred million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 13 14 20 22 26 28 35 40 44 52 55 56 65 70 77 88 91 104 110 130 140 143 154 182 220 260 280 286 308 364 385 440 455 520 572 616 715 728 770 910 1001 1144 1430 1540 1820 2002 2503 2860 3080 3640 4004 5005 5006 5720 8008 10010 10012 12515 17521 20020 20024 25030 27533 32539 35042 40040 50060 55066 65078 70084 87605 100120 110132 130156 137665 140168 162695 175210 192731 220264 227773 260312 275330 325390 350420 357929 385462 455546 550660 650780 700840 715858 770924 911092 963655 1101320 1138865 1301560 1431716 1541848 1789645 1822184 1927310 2277730 2505503 2863432 3579290 3854620 4555460 5011006 7158580 7709240 9110920 10022012 12527515 14317160 20044024 25055030 50110060 100220120