Search a number
-
+
122321201100 = 223527148939119
BaseRepresentation
bin111000111101011101…
…0010110011111001100
3102200201202220211210120
41301322322112133030
54001003211413400
6132105451504540
711560143024360
oct1617272263714
9380652824716
10122321201100
114797014693a
121b859158150
13b6c5073547
145cc57332a0
1532adb63ca0
hex1c7ae967cc

122321201100 has 144 divisors (see below), whose sum is σ = 404757427200. Its totient is φ = 27939640320.

The previous prime is 122321201087. The next prime is 122321201111. The reversal of 122321201100 is 1102123221.

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 122321201100.

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, 3107341 + ... + 3146459.

Almost surely, 2122321201100 is an apocalyptic number.

122321201100 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 122321201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202378713600).

122321201100 is an abundant number, since it is smaller than the sum of its proper divisors (282436226100).

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

122321201100 is a wasteful number, since it uses less digits than its factorization.

122321201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40632 (or 40625 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 122321201100 its reverse (1102123221), we get a palindrome (123423324321).

The spelling of 122321201100 in words is "one hundred twenty-two billion, three hundred twenty-one million, two hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 1489 2100 2978 4467 5956 7445 8934 10423 14890 17868 20846 22335 29780 31269 37225 39119 41692 44670 52115 62538 74450 78238 89340 104230 111675 117357 125076 148900 156345 156476 195595 208460 223350 234714 260575 273833 312690 391190 446700 469428 521150 547666 586785 625380 781725 782380 821499 977975 1042300 1095332 1173570 1369165 1563450 1642998 1955950 2347140 2738330 2933925 3126900 3285996 3911900 4107495 5476660 5867850 6845825 8214990 11735700 13691650 16429980 20537475 27383300 41074950 58248191 82149900 116496382 174744573 232992764 291240955 349489146 407737337 582481910 698978292 815474674 873722865 1164963820 1223212011 1456204775 1630949348 1747445730 2038686685 2446424022 2912409550 3494891460 4077373370 4368614325 4892848044 5824819100 6116060055 8154746740 8737228650 10193433425 12232120110 17474457300 20386866850 24464240220 30580300275 40773733700 61160600550 122321201100