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210033121330120 = 235112337560925973
BaseRepresentation
bin101111110000011000100101…
…100101101000001111001000
31000112122222012100111012202011
4233300120211211220033020
5210012140313030030440
62022411514531345304
762145251354434564
oct5760304545501710
91015588170435664
10210033121330120
1160a17601490970
121b6819ab452234
13902706636519a
1439c192b9486a4
15194369bb699ea
hexbf06259683c8

210033121330120 has 128 divisors (see below), whose sum is σ = 552489647351040. Its totient is φ = 71080539171840.

The previous prime is 210033121330103. The next prime is 210033121330129. The reversal of 210033121330120 is 21033121330012.

It is a super-2 number, since 2×2100331213301202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 210033121330091 and 210033121330100.

It is not an unprimeable number, because it can be changed into a prime (210033121330129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 280088547 + ... + 280837426.

It is an arithmetic number, because the mean of its divisors is an integer number (4316325369930).

Almost surely, 2210033121330120 is an apocalyptic number.

210033121330120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210033121330120 is an abundant number, since it is smaller than the sum of its proper divisors (342456526020920).

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

210033121330120 is a wasteful number, since it uses less digits than its factorization.

210033121330120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560926055 (or 560926051 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 210033121330120 its reverse (21033121330012), we get a palindrome (231066242660132).

The spelling of 210033121330120 in words is "two hundred ten trillion, thirty-three billion, one hundred twenty-one million, three hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 37 40 44 46 55 74 88 92 110 115 148 184 185 220 230 253 296 370 407 440 460 506 740 814 851 920 1012 1265 1480 1628 1702 2024 2035 2530 3256 3404 4070 4255 5060 6808 8140 8510 9361 10120 16280 17020 18722 34040 37444 46805 74888 93610 187220 374440 560925973 1121851946 2243703892 2804629865 4487407784 5609259730 6170185703 11218519460 12340371406 12901297379 20754261001 22437038920 24680742812 25802594758 30850928515 41508522002 49361485624 51605189516 61701857030 64506486895 83017044004 103210379032 103771305005 123403714060 129012973790 141914271169 166034088008 207542610010 228296871011 246807428120 258025947580 283828542338 415085220020 456593742022 477348003023 516051895160 567657084676 709571355845 830170440040 913187484044 954696006046 1135314169352 1141484355055 1419142711690 1826374968088 1909392012092 2282968710110 2386740015115 2838285423380 3818784024184 4565937420220 4773480030230 5250828033253 5676570846760 9131874840440 9546960060460 10501656066506 19093920120920 21003312133012 26254140166265 42006624266024 52508280332530 105016560665060 210033121330120