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103322220144 = 243111326775623
BaseRepresentation
bin110000000111001111…
…0111111011001110000
3100212200200222121112020
41200032132333121300
53143100442021034
6115244321431440
710315264244343
oct1401636773160
9325620877466
10103322220144
113a900777290
121803649b580
139987ba1890
14500238245a
152a4ac2b249
hex180e7bf670

103322220144 has 160 divisors (see below), whose sum is σ = 313752251904. Its totient is φ = 28885386240.

The previous prime is 103322220139. The next prime is 103322220149. The reversal of 103322220144 is 441022223301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103322220139) and next prime (103322220149).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103322220149) 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, 18372117 + ... + 18377739.

Almost surely, 2103322220144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103322220144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156876125952).

103322220144 is an abundant number, since it is smaller than the sum of its proper divisors (210430031760).

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

103322220144 is a wasteful number, since it uses less digits than its factorization.

103322220144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8335 (or 8329 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 103322220144 its reverse (441022223301), we get a palindrome (544344443445).

The spelling of 103322220144 in words is "one hundred three billion, three hundred twenty-two million, two hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 858 1144 1716 2288 2677 3432 5354 5623 6864 8031 10708 11246 16062 16869 21416 22492 29447 32124 33738 34801 42832 44984 58894 61853 64248 67476 69602 73099 88341 89968 104403 117788 123706 128496 134952 139204 146198 176682 185559 208806 219297 235576 247412 269904 278408 292396 353364 371118 382811 417612 438594 471152 494824 556816 584792 706728 742236 765622 804089 835224 877188 989648 1148433 1169584 1413456 1484472 1531244 1608178 1670448 1754376 2296866 2412267 2968944 3062488 3216356 3508752 4593732 4824534 6124976 6432712 9187464 9649068 12865424 15052771 18374928 19298136 30105542 38596272 45158313 60211084 90316626 120422168 165580481 180633252 195686023 240844336 331160962 361266504 391372046 496741443 587058069 662321924 722533008 782744092 993482886 1174116138 1324643848 1565488184 1986965772 2152546253 2348232276 2649287696 3130976368 3973931544 4305092506 4696464552 6457638759 7947863088 8610185012 9392929104 12915277518 17220370024 25830555036 34440740048 51661110072 103322220144