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2121402615000 = 23354208167961
BaseRepresentation
bin11110110111101101011…
…100110000010011011000
321111210201012021200112020
4132313231130300103120
5234224113032140000
64302320420214440
7306160222464024
oct36675534602330
97453635250466
102121402615000
11748755520359
122a318553a420
13125080204536
14749681c9384
153a2b1192ba0
hex1eded7304d8

2121402615000 has 160 divisors (see below), whose sum is σ = 6630543984240. Its totient is φ = 565427200000.

The previous prime is 2121402614951. The next prime is 2121402615067. The reversal of 2121402615000 is 5162041212.

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

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 39 ways as a sum of consecutive naturals, for example, 31181020 + ... + 31248980.

Almost surely, 22121402615000 is an apocalyptic number.

2121402615000 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 2121402615000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3315271992120).

2121402615000 is an abundant number, since it is smaller than the sum of its proper divisors (4509141369240).

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

2121402615000 is a wasteful number, since it uses less digits than its factorization.

2121402615000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70071 (or 70052 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 2121402615000 its reverse (5162041212), we get a palindrome (2126564656212).

The spelling of 2121402615000 in words is "two trillion, one hundred twenty-one billion, four hundred two million, six hundred fifteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 625 750 1000 1250 1500 1875 2081 2500 3000 3750 4162 5000 6243 7500 8324 10405 12486 15000 16648 20810 24972 31215 41620 49944 52025 62430 67961 83240 104050 124860 135922 156075 203883 208100 249720 260125 271844 312150 339805 407766 416200 520250 543688 624300 679610 780375 815532 1019415 1040500 1248600 1300625 1359220 1560750 1631064 1699025 2038830 2081000 2601250 2718440 3121500 3398050 3901875 4077660 5097075 5202500 6243000 6796100 7803750 8155320 8495125 10194150 10405000 13592200 15607500 16990250 20388300 25485375 31215000 33980500 40776600 42475625 50970750 67961000 84951250 101941500 127426875 141426841 169902500 203883000 254853750 282853682 339805000 424280523 509707500 565707364 707134205 848561046 1019415000 1131414728 1414268410 1697122092 2121402615 2828536820 3394244184 3535671025 4242805230 5657073640 7071342050 8485610460 10607013075 14142684100 16971220920 17678355125 21214026150 28285368200 35356710250 42428052300 53035065375 70713420500 84856104600 88391775625 106070130750 141426841000 176783551250 212140261500 265175326875 353567102500 424280523000 530350653750 707134205000 1060701307500 2121402615000