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102020120211222 = 2338338515910721
BaseRepresentation
bin10111001100100101101001…
…000001100110111100010110
3111101020000202120220000022000
4113030211221001212330112
5101332444201233224342
61000551221325420130
730326465453465253
oct2714455101467426
9441200676800260
10102020120211222
112a5635432224a4
12b538223a0a646
1344c05c0c54035
141b29b2b91a42a
15bbdb9dd6144c
hex5cc969066f16

102020120211222 has 64 divisors (see below), whose sum is σ = 229502459531520. Its totient is φ = 33588257472000.

The previous prime is 102020120211203. The next prime is 102020120211239. The reversal of 102020120211222 is 222112021020201.

It is a happy number.

102020120211222 is a `hidden beast` number, since 10 + 2 + 0 + 201 + 20 + 211 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102020120211195 and 102020120211204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14304822 + ... + 20215542.

It is an arithmetic number, because the mean of its divisors is an integer number (3585975930180).

Almost surely, 2102020120211222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102020120211222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114751229765760).

102020120211222 is an abundant number, since it is smaller than the sum of its proper divisors (127482339320298).

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

102020120211222 is a wasteful number, since it uses less digits than its factorization.

102020120211222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5914666 (or 5914660 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102020120211222 its reverse (222112021020201), we get a palindrome (324132141231423).

The spelling of 102020120211222 in words is "one hundred two trillion, twenty billion, one hundred twenty million, two hundred eleven thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 83 166 249 498 747 1494 2241 3851 4482 7702 11553 23106 34659 69318 103977 207954 319633 639266 958899 1917798 2876697 5753394 5910721 8630091 11821442 17260182 17732163 35464326 53196489 106392978 159589467 319178934 490589843 981179686 1471769529 2943539058 4415308587 8830617174 13245925761 22762186571 26491851522 45524373142 68286559713 136573119426 204859679139 409719358278 614579037417 1229158074834 1889261485393 3778522970786 5667784456179 11335568912358 17003353368537 34006706737074 51010060105611 102020120211222