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210201021121120 = 25589127116230769
BaseRepresentation
bin101111110010110100111101…
…001100100000001001100000
31000120021000120120120022201221
4233302310331030200021200
5210022413142401333440
62023021003242504424
762163344154215461
oct5762647514401140
91016230516508657
10210201021121120
1160a81830547a17
121b6aa448805114
139039b4315a243
1439c9ad86bcd68
151947c26e0ad4a
hexbf2d3d320260

210201021121120 has 96 divisors (see below), whose sum is σ = 506133861811200. Its totient is φ = 82481072357376.

The previous prime is 210201021121051. The next prime is 210201021121139. The reversal of 210201021121120 is 21121120102012.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 210201021121094 and 210201021121103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56306905 + ... + 59923864.

It is an arithmetic number, because the mean of its divisors is an integer number (5272227727200).

Almost surely, 2210201021121120 is an apocalyptic number.

210201021121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210201021121120 is an abundant number, since it is smaller than the sum of its proper divisors (295932840690080).

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

210201021121120 is a wasteful number, since it uses less digits than its factorization.

210201021121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116231000 (or 116230992 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 210201021121120 its reverse (21121120102012), we get a palindrome (231322141223132).

The spelling of 210201021121120 in words is "two hundred ten trillion, two hundred one billion, twenty-one million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 89 127 160 178 254 356 445 508 635 712 890 1016 1270 1424 1780 2032 2540 2848 3560 4064 5080 7120 10160 11303 14240 20320 22606 45212 56515 90424 113030 180848 226060 361696 452120 904240 1808480 116230769 232461538 464923076 581153845 929846152 1162307690 1859692304 2324615380 3719384608 4649230760 9298461520 10344538441 14761307663 18596923040 20689076882 29522615326 41378153764 51722692205 59045230652 73806538315 82756307528 103445384410 118090461304 147613076630 165512615056 206890768820 236180922608 295226153260 331025230112 413781537640 472361845216 590452306520 827563075280 1180904613040 1313756382007 1655126150560 2361809226080 2627512764014 5255025528028 6568781910035 10510051056056 13137563820070 21020102112112 26275127640140 42040204224224 52550255280280 105100510560560 210201021121120