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212112110021010 = 2353111317117117917
BaseRepresentation
bin110000001110101000110010…
…111110000110100110010010
31000211000201102122111022102020
4300032220302332012212102
5210300221100131133020
62031042542542232310
762451410551642323
oct6016506276064622
91024021378438366
10212112110021010
11616492713a0281
121b9588b8585696
1391481173647b4
143a543d0b2044a
15197c7c944dc40
hexc0ea32f86992

212112110021010 has 128 divisors (see below), whose sum is σ = 530176474220544. Its totient is φ = 54250566881280.

The previous prime is 212112110020901. The next prime is 212112110021017. The reversal of 212112110021010 is 10120011211212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (212112110021017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1798766572 + ... + 1798884488.

It is an arithmetic number, because the mean of its divisors is an integer number (4142003704848).

Almost surely, 2212112110021010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212112110021010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265088237110272).

212112110021010 is an abundant number, since it is smaller than the sum of its proper divisors (318064364199534).

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

212112110021010 is a wasteful number, since it uses less digits than its factorization.

212112110021010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135188.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 212112110021010 its reverse (10120011211212), we get a palindrome (222232121232222).

The spelling of 212112110021010 in words is "two hundred twelve trillion, one hundred twelve billion, one hundred ten million, twenty-one thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 113 155 186 226 310 339 465 565 678 930 1130 1695 3390 3503 7006 10509 17117 17515 21018 34234 35030 51351 52545 85585 102702 105090 117917 171170 235834 256755 353751 513510 530627 589585 707502 1061254 1179170 1591881 1768755 1934221 2653135 3183762 3537510 3655427 3868442 5306270 5802663 7310854 7959405 9671105 10966281 11605326 13324621 15918810 18277135 19342210 21932562 26649242 29013315 36554270 39973863 54831405 58026630 59960851 66623105 79947726 109662810 119921702 133246210 179882553 199869315 299804255 359765106 399738630 413063251 599608510 826126502 899412765 1239189753 1798825530 2018385289 2065316255 2478379506 4036770578 4130632510 6055155867 6195948765 10091926445 12110311734 12391897530 20183852890 30275779335 60551558670 62569943959 125139887918 187709831877 228077537657 312849719795 375419663754 456155075314 625699439590 684232612971 938549159385 1140387688285 1368465225942 1877098318770 2280775376570 3421163064855 6842326129710 7070403667367 14140807334734 21211211002101 35352018336835 42422422004202 70704036673670 106056055010505 212112110021010