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2121021030120 = 2335331102152301
BaseRepresentation
bin11110110111010110101…
…101000111111011101000
321111202201121021011110220
4132313112231013323220
5234222322340430440
64302214505410040
7306144610200456
oct36672655077350
97452647234426
102121021030120
1174857a092a53
122a3099799920
1312501c13cb75
147492d6599d6
153a28c91a8d0
hex1edd6b47ee8

2121021030120 has 128 divisors (see below), whose sum is σ = 6388660010880. Its totient is φ = 563333760000.

The previous prime is 2121021030113. The next prime is 2121021030131. The reversal of 2121021030120 is 210301201212.

It is a super-2 number, since 2×21210210301202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2121021030120.

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, 40527970 + ... + 40580270.

It is an arithmetic number, because the mean of its divisors is an integer number (49911406335).

Almost surely, 22121021030120 is an apocalyptic number.

2121021030120 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 2121021030120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3194330005440).

2121021030120 is an abundant number, since it is smaller than the sum of its proper divisors (4267638980760).

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

2121021030120 is a wasteful number, since it uses less digits than its factorization.

2121021030120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53667 (or 53663 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 2121021030120 its reverse (210301201212), we get a palindrome (2331322231332).

The spelling of 2121021030120 in words is "two trillion, one hundred twenty-one billion, twenty-one million, thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 331 662 993 1021 1324 1655 1986 2042 2648 3063 3310 3972 4084 4965 5105 6126 6620 7944 8168 9930 10210 12252 13240 15315 19860 20420 24504 30630 39720 40840 52301 61260 104602 122520 156903 209204 261505 313806 337951 418408 523010 627612 675902 784515 1013853 1046020 1255224 1351804 1569030 1689755 2027706 2092040 2703608 3138060 3379510 4055412 5069265 6276120 6759020 8110824 10138530 13518040 17311631 20277060 34623262 40554120 51934893 53399321 69246524 86558155 103869786 106798642 138493048 160197963 173116310 207739572 213597284 259674465 266996605 320395926 346232620 415479144 427194568 519348930 533993210 640791852 692465240 800989815 1038697860 1067986420 1281583704 1601979630 2077395720 2135972840 3203959260 6407918520 17675175251 35350350502 53025525753 70700701004 88375876255 106051051506 141401402008 176751752510 212102103012 265127628765 353503505020 424204206024 530255257530 707007010040 1060510515060 2121021030120