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122020002210 = 23543791796689
BaseRepresentation
bin111000110100011110…
…1010111100110100010
3102122221210011100121010
41301220331113212202
53444344110032320
6132015532041350
711546524622451
oct1615075274642
9378853140533
10122020002210
1147826123737
121b794303256
13b677845b52
145c9772ab98
1532924b9ae0
hex1c68f579a2

122020002210 has 128 divisors (see below), whose sum is σ = 305192448000. Its totient is φ = 31199680512.

The previous prime is 122020002187. The next prime is 122020002227. The reversal of 122020002210 is 12200020221.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18238546 + ... + 18245234.

It is an arithmetic number, because the mean of its divisors is an integer number (2384316000).

Almost surely, 2122020002210 is an apocalyptic number.

122020002210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122020002210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152596224000).

122020002210 is an abundant number, since it is smaller than the sum of its proper divisors (183172445790).

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

122020002210 is a wasteful number, since it uses less digits than its factorization.

122020002210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7000.

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

Adding to 122020002210 its reverse (12200020221), we get a palindrome (134220022431).

The spelling of 122020002210 in words is "one hundred twenty-two billion, twenty million, two thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 43 79 86 129 158 179 215 237 258 358 395 430 474 537 645 790 895 1074 1185 1290 1790 2370 2685 3397 5370 6689 6794 7697 10191 13378 14141 15394 16985 20067 20382 23091 28282 33445 33970 38485 40134 42423 46182 50955 66890 70705 76970 84846 100335 101910 115455 141410 200670 212115 230910 287627 424230 528431 575254 608063 862881 1056862 1197331 1216126 1438135 1585293 1725762 1824189 2394662 2642155 2876270 3040315 3170586 3591993 3648378 4314405 5284310 5986655 6080630 7183986 7926465 8628810 9120945 11973310 15852930 17959965 18241890 22722533 35919930 45445066 51485233 68167599 94589149 102970466 113612665 136335198 154455699 189178298 227225330 257426165 283767447 308911398 340837995 472945745 514852330 567534894 681675990 772278495 945891490 1418837235 1544556990 2837674470 4067333407 8134666814 12202000221 20336667035 24404000442 40673334070 61010001105 122020002210