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211112000122002 = 237192985391068329
BaseRepresentation
bin110000000000000101010111…
…110001100110110010010010
31000200111002222021021102211120
4300000011113301212302102
5210132324334012401002
62024555303004223110
762316224111032110
oct6000052761466222
91020432867242746
10211112000122002
11612a3107432661
121b816b0583aa96
1390a4a1239a875
143a1bc37c6aab0
151961793229cbc
hexc00157c66c92

211112000122002 has 128 divisors (see below), whose sum is σ = 525515800320000. Its totient is φ = 55166133238272.

The previous prime is 211112000121943. The next prime is 211112000122039. The reversal of 211112000122002 is 200221000211112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 197075374 + ... + 198143702.

It is an arithmetic number, because the mean of its divisors is an integer number (4105592190000).

Almost surely, 2211112000122002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211112000122002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262757900160000).

211112000122002 is an abundant number, since it is smaller than the sum of its proper divisors (314403800197998).

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

211112000122002 is a wasteful number, since it uses less digits than its factorization.

211112000122002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076928.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 211112000122002 its reverse (200221000211112), we get a palindrome (411333000333114).

The spelling of 211112000122002 in words is "two hundred eleven trillion, one hundred twelve billion, one hundred twenty-two thousand, two".

Divisors: 1 2 3 6 7 14 19 21 29 38 42 57 58 87 114 133 174 203 266 399 406 551 609 798 1102 1218 1653 3306 3857 7714 8539 11571 17078 23142 25617 51234 59773 119546 162241 179319 247631 324482 358638 486723 495262 742893 973446 1068329 1135687 1485786 1733417 2136658 2271374 3204987 3407061 3466834 4704989 5200251 6409974 6814122 7478303 9409978 10400502 14114967 14956606 20298251 22434909 28229934 30981541 32934923 40596502 44869818 60894753 61963082 65869846 92944623 98804769 121789506 142087757 185889246 197609538 216870787 284175514 426263271 433741574 588649279 650612361 852526542 1177298558 1301224722 1765947837 3531895674 4120544953 8241089906 9122461331 12361634859 18244922662 24723269718 27367383993 54734767986 63857229317 127714458634 173326765289 191571687951 264551378599 346653530578 383143375902 519980295867 529102757198 793654135797 1039960591734 1213287357023 1587308271594 1851859650193 2426574714046 3639862071069 3703719300386 5026476193381 5555578950579 7279724142138 10052952386762 11111157901158 15079428580143 30158857160286 35185333353667 70370666707334 105556000061001 211112000122002