Search a number
-
+
2131202121120 = 253253147741983
BaseRepresentation
bin11111000000110101100…
…010111001110110100000
321112202000010210011202100
4133000311202321312200
5234404200220333440
64311021041450400
7306655114063512
oct37006542716640
97482003704670
102131202121120
11751924045346
122a505b340a00
13125c824c3977
147521787bbb2
153a68664a230
hex1f0358b9da0

2131202121120 has 144 divisors (see below), whose sum is σ = 7507331500032. Its totient is φ = 549987632640.

The previous prime is 2131202121073. The next prime is 2131202121121. The reversal of 2131202121120 is 211212021312.

2131202121120 is a `hidden beast` number, since 21 + 312 + 0 + 212 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2131202121093 and 2131202121102.

It is not an unprimeable number, because it can be changed into a prime (2131202121121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23826352 + ... + 23915631.

It is an arithmetic number, because the mean of its divisors is an integer number (52134246528).

Almost surely, 22131202121120 is an apocalyptic number.

2131202121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131202121120 is an abundant number, since it is smaller than the sum of its proper divisors (5376129378912).

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

2131202121120 is a wasteful number, since it uses less digits than its factorization.

2131202121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47742035 (or 47742024 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2131202121120 its reverse (211212021312), we get a palindrome (2342414142432).

The spelling of 2131202121120 in words is "two trillion, one hundred thirty-one billion, two hundred two million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 32 36 40 45 48 60 62 72 80 90 93 96 120 124 144 155 160 180 186 240 248 279 288 310 360 372 465 480 496 558 620 720 744 930 992 1116 1240 1395 1440 1488 1860 2232 2480 2790 2976 3720 4464 4960 5580 7440 8928 11160 14880 22320 44640 47741983 95483966 143225949 190967932 238709915 286451898 381935864 429677847 477419830 572903796 716129745 763871728 859355694 954839660 1145807592 1432259490 1480001473 1527743456 1718711388 1909679320 2148389235 2291615184 2864518980 2960002946 3437422776 3819358640 4296778470 4440004419 4583230368 5729037960 5920005892 6874845552 7400007365 7638717280 8593556940 8880008838 11458075920 11840011784 13320013257 13749691104 14800014730 17187113880 17760017676 22200022095 22916151840 23680023568 26640026514 29600029460 34374227760 35520035352 44400044190 47360047136 53280053028 59200058920 66600066285 68748455520 71040070704 88800088380 106560106056 118400117840 133200132570 142080141408 177600176760 213120212112 236800235680 266400265140 355200353520 426240424224 532800530280 710400707040 1065601060560 2131202121120