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422102101110440 = 235711811889434699
BaseRepresentation
bin101111111111001100100110…
…1110010111010111010101000
32001100112120022011211021200112
41133332121031302322322220
5420311210100341013230
64053423010035153452
7154623604362411242
oct13776311562727250
92040476264737615
10422102101110440
1111254954a996a23
123b41226b745888
131516b098c919aa
147633bca471092
1533bec9e8b2d95
hex17fe64dcbaea8

422102101110440 has 128 divisors (see below), whose sum is σ = 968942126880000. Its totient is φ = 165455100518400.

The previous prime is 422102101110439. The next prime is 422102101110541. The reversal of 422102101110440 is 44011101201224.

It is a super-2 number, since 2×4221021011104402 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 970804211 + ... + 971238909.

It is an arithmetic number, because the mean of its divisors is an integer number (7569860366250).

Almost surely, 2422102101110440 is an apocalyptic number.

422102101110440 is a gapful number since it is divisible by the number (40) 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 422102101110440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484471063440000).

422102101110440 is an abundant number, since it is smaller than the sum of its proper divisors (546840025769560).

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

422102101110440 is a wasteful number, since it uses less digits than its factorization.

422102101110440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436851 (or 436847 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 422102101110440 its reverse (44011101201224), we get a palindrome (466113202311664).

The spelling of 422102101110440 in words is "four hundred twenty-two trillion, one hundred two billion, one hundred one million, one hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 71 142 181 284 355 362 568 710 724 905 1420 1448 1810 1889 2840 3620 3778 7240 7556 9445 12851 15112 18890 25702 37780 51404 64255 75560 102808 128510 134119 257020 268238 341909 434699 514040 536476 670595 683818 869398 1072952 1341190 1367636 1709545 1738796 2173495 2682380 2735272 3419090 3477592 4346990 5364760 6838180 8693980 13676360 17387960 24275539 30863629 48551078 61727258 78680519 97102156 121377695 123454516 154318145 157361038 194204312 242755390 246909032 308636290 314722076 393402595 485510780 617272580 629444152 786805190 821146411 971021560 1234545160 1573610380 1642292822 3147220760 3284585644 4105732055 5586316849 6569171288 8211464110 11172633698 16422928220 22345267396 27931584245 32845856440 44690534792 55863168490 58301395181 111726336980 116602790362 148627500391 223452673960 233205580724 291506975905 297255000782 466411161448 583013951810 594510001564 743137501955 1166027903620 1189020003128 1486275003910 2332055807240 2972550007820 5945100015640 10552552527761 21105105055522 42210210111044 52762762638805 84420420222088 105525525277610 211051050555220 422102101110440