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2133021032120 = 23511101260918397
BaseRepresentation
bin11111000010100001111…
…101011111111010111000
321112220200220101102120102
4133002201331133322320
5234421411341011440
64311521335214532
7310051151423156
oct37024175377270
97486626342512
102133021032120
11752677846080
122a5488517448
131261b22a5574
147534b2783d6
153a74118bb15
hex1f0a1f5feb8

2133021032120 has 128 divisors (see below), whose sum is σ = 5289748804800. Its totient is φ = 767628288000.

The previous prime is 2133021032101. The next prime is 2133021032137. The reversal of 2133021032120 is 212301203312.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2133021032092 and 2133021032101.

It is a congruent number.

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, 115934762 + ... + 115953158.

Almost surely, 22133021032120 is an apocalyptic number.

2133021032120 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 2133021032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2644874402400).

2133021032120 is an abundant number, since it is smaller than the sum of its proper divisors (3156727772680).

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

2133021032120 is a wasteful number, since it uses less digits than its factorization.

2133021032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21129 (or 21125 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 2133021032120 its reverse (212301203312), we get a palindrome (2345322235432).

The spelling of 2133021032120 in words is "two trillion, one hundred thirty-three billion, twenty-one million, thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 440 505 808 1010 1111 2020 2222 2609 4040 4444 5218 5555 8888 10436 11110 13045 18397 20872 22220 26090 28699 36794 44440 52180 57398 73588 91985 104360 114796 143495 147176 183970 202367 229592 263509 286990 367940 404734 527018 573980 735880 809468 1011835 1054036 1147960 1317545 1618936 1858097 2023670 2108072 2635090 2898599 3716194 4047340 5270180 5797198 7432388 8094680 9290485 10540360 11594396 14492995 14864776 18580970 20439067 23188792 28985990 37161940 40878134 47997773 57971980 74323880 81756268 95995546 102195335 115943960 163512536 191991092 204390670 239988865 383982184 408781340 479977730 527975503 817562680 959955460 1055951006 1919910920 2111902012 2639877515 4223804024 4847775073 5279755030 9695550146 10559510060 19391100292 21119020120 24238875365 38782200584 48477750730 53325525803 96955501460 106651051606 193911002920 213302103212 266627629015 426604206424 533255258030 1066510516060 2133021032120