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120200102022 = 237111337540901
BaseRepresentation
bin110111111110001111…
…1000000000010000110
3102111020221200211212110
41233330133000002012
53432132211231042
6131115201201450
711453446003140
oct1577437000206
9374227624773
10120200102022
1146a819077a0
121b366930286
13b4477a8c30
145b63b53c90
1531d783009c
hex1bfc7c0086

120200102022 has 128 divisors (see below), whose sum is σ = 331499363328. Its totient is φ = 28040256000.

The previous prime is 120200102003. The next prime is 120200102023. The reversal of 120200102022 is 220201002021.

It is a junction number, because it is equal to n+sod(n) for n = 120200101989 and 120200102007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120200102023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48229 + ... + 492672.

It is an arithmetic number, because the mean of its divisors is an integer number (2589838776).

Almost surely, 2120200102022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120200102022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165749681664).

120200102022 is an abundant number, since it is smaller than the sum of its proper divisors (211299261306).

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

120200102022 is a wasteful number, since it uses less digits than its factorization.

120200102022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540974.

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

Adding to 120200102022 its reverse (220201002021), we get a palindrome (340401104043).

It can be divided in two parts, 120200 and 102022, that added together give a palindrome (222222).

The spelling of 120200102022 in words is "one hundred twenty billion, two hundred million, one hundred two thousand, twenty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 37 39 42 66 74 77 78 91 111 143 154 182 222 231 259 273 286 407 429 462 481 518 546 777 814 858 962 1001 1221 1443 1554 2002 2442 2849 2886 3003 3367 5291 5698 6006 6734 8547 10101 10582 15873 17094 20202 31746 37037 74074 111111 222222 540901 1081802 1622703 3245406 3786307 5949911 7031713 7572614 11358921 11899822 14063426 17849733 20013337 21095139 22717842 35699466 40026674 41649377 42190278 49221991 60040011 77348843 83298754 98443982 120080022 124948131 140093359 147665973 154697686 220146707 232046529 249896262 260173381 280186718 295331946 420280077 440293414 464093058 520346762 541441901 660440121 780520143 840560154 1082883802 1320880242 1541026949 1561040286 1624325703 1821213667 2861907191 3082053898 3248651406 3642427334 4623080847 5463641001 5723814382 8585721573 9246161694 10927282002 17171443146 20033350337 40066700674 60100051011 120200102022