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2132223123120 = 2435292707113171
BaseRepresentation
bin11111000001110010011…
…001101101111010110000
321112211122021222110012020
4133001302121231322300
5234413243104414440
64311310233231440
7310022322335646
oct37016231557260
97484567873166
102132223123120
117522a8403252
122a52a5262580
131260b5ba536c
14752b32d5196
153a6e60c93d0
hex1f07266deb0

2132223123120 has 160 divisors (see below), whose sum is σ = 6840405400320. Its totient is φ = 548778531840.

The previous prime is 2132223123119. The next prime is 2132223123133. The reversal of 2132223123120 is 213213222312.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 18784135 + ... + 18897305.

It is an arithmetic number, because the mean of its divisors is an integer number (42752533752).

Almost surely, 22132223123120 is an apocalyptic number.

2132223123120 is a gapful number since it is divisible by the number (20) 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 2132223123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3420202700160).

2132223123120 is an abundant number, since it is smaller than the sum of its proper divisors (4708182277200).

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

2132223123120 is a wasteful number, since it uses less digits than its factorization.

2132223123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115923 (or 115917 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2132223123120 its reverse (213213222312), we get a palindrome (2345436345432).

The spelling of 2132223123120 in words is "two trillion, one hundred thirty-two billion, two hundred twenty-three million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 2707 3480 5414 6960 8121 10828 13535 16242 21656 27070 32484 40605 43312 54140 64968 78503 81210 108280 113171 129936 157006 162420 216560 226342 235509 314012 324840 339513 392515 452684 471018 565855 628024 649680 679026 785030 905368 942036 1131710 1177545 1256048 1358052 1570060 1697565 1810736 1884072 2263420 2355090 2716104 3140120 3281959 3395130 3768144 4526840 4710180 5432208 6280240 6563918 6790260 9053680 9420360 9845877 13127836 13580520 16409795 18840720 19691754 26255672 27161040 32819590 39383508 49229385 52511344 65639180 78767016 98458770 131278360 157534032 196917540 262556720 306353897 393835080 612707794 787670160 919061691 1225415588 1531769485 1838123382 2450831176 3063538970 3676246764 4595308455 4901662352 6127077940 7352493528 8884263013 9190616910 12254155880 14704987056 17768526026 18381233820 24508311760 26652789039 35537052052 36762467640 44421315065 53305578078 71074104104 73524935280 88842630130 106611156156 133263945195 142148208208 177685260260 213222312312 266527890390 355370520520 426444624624 533055780780 710741041040 1066111561560 2132223123120