Search a number
-
+
13223201100 = 22352412713967
BaseRepresentation
bin11000101000010101…
…00000100101001100
31021010112210012210220
430110022200211030
5204040114413400
610024043031340
7645453232464
oct142412404514
937115705726
1013223201100
11567617477a
12269050b550
1313296c0465
148d626aba4
15525d407a0
hex3142a094c

13223201100 has 144 divisors (see below), whose sum is σ = 39346814976. Its totient is φ = 3426624000.

The previous prime is 13223201087. The next prime is 13223201113. The reversal of 13223201100 is 110232231.

It is an interprime number because it is at equal distance from previous prime (13223201087) and next prime (13223201113).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13223201100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3331317 + ... + 3335283.

Almost surely, 213223201100 is an apocalyptic number.

13223201100 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 13223201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19673407488).

13223201100 is an abundant number, since it is smaller than the sum of its proper divisors (26123613876).

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

13223201100 is a wasteful number, since it uses less digits than its factorization.

13223201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4296 (or 4289 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13223201100 its reverse (110232231), we get a palindrome (13333433331).

The spelling of 13223201100 in words is "thirteen billion, two hundred twenty-three million, two hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 271 300 410 492 542 615 813 820 1025 1084 1230 1355 1626 2050 2460 2710 3075 3252 3967 4065 4100 5420 6150 6775 7934 8130 11111 11901 12300 13550 15868 16260 19835 20325 22222 23802 27100 33333 39670 40650 44444 47604 55555 59505 66666 79340 81300 99175 111110 119010 133332 162647 166665 198350 222220 238020 277775 297525 325294 333330 396700 487941 555550 595050 650588 666660 813235 833325 975882 1075057 1111100 1190100 1626470 1666650 1951764 2150114 2439705 3225171 3252940 3333300 4066175 4300228 4879410 5375285 6450342 8132350 9758820 10750570 12198525 12900684 16125855 16264700 21501140 24397050 26876425 32251710 44077337 48794100 53752850 64503420 80629275 88154674 107505700 132232011 161258550 176309348 220386685 264464022 322517100 440773370 528928044 661160055 881546740 1101933425 1322320110 2203866850 2644640220 3305800275 4407733700 6611600550 13223201100