Search a number
-
+
202101024 = 25319179619
BaseRepresentation
bin11000000101111…
…01000100100000
3112002021210111010
430002331010200
5403214213044
632015420520
75002554546
oct1402750440
9462253433
10202101024
11a4098544
1257824740
1332b41708
141cbabd96
1512b21bb9
hexc0bd120

202101024 has 96 divisors (see below), whose sum is σ = 562464000. Its totient is φ = 63362304.

The previous prime is 202100999. The next prime is 202101041. The reversal of 202101024 is 420101202.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 326187 + ... + 326805.

It is an arithmetic number, because the mean of its divisors is an integer number (5859000).

Almost surely, 2202101024 is an apocalyptic number.

202101024 is a gapful number since it is divisible by the number (24) 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 202101024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281232000).

202101024 is an abundant number, since it is smaller than the sum of its proper divisors (360362976).

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

202101024 is a wasteful number, since it uses less digits than its factorization.

202101024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 202101024 is about 14216.2239712239. The cubic root of 202101024 is about 586.8442288518.

Adding to 202101024 its reverse (420101202), we get a palindrome (622202226).

The spelling of 202101024 in words is "two hundred two million, one hundred one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 179 228 304 358 456 537 608 619 716 912 1074 1238 1432 1824 1857 2148 2476 2864 3401 3714 4296 4952 5728 6802 7428 8592 9904 10203 11761 13604 14856 17184 19808 20406 23522 27208 29712 35283 40812 47044 54416 59424 70566 81624 94088 108832 110801 141132 163248 188176 221602 282264 326496 332403 376352 443204 564528 664806 886408 1129056 1329612 1772816 2105219 2659224 3545632 4210438 5318448 6315657 8420876 10636896 12631314 16841752 25262628 33683504 50525256 67367008 101050512 202101024