Search a number
-
+
101221212002022 = 23273140829634703
BaseRepresentation
bin10111000000111101100110…
…011000101001011011100110
3111021101122122022010222201200
4113000331212120221123212
5101231402020233031042
6555140214410103330
730214663664655630
oct2700754630513346
9437348568128650
10101221212002022
112a285747386352
12b42942311ab46
134463172242928
141add1c0597a50
15ba7ee1832c4c
hex5c0f666296e6

101221212002022 has 96 divisors (see below), whose sum is σ = 258735003770880. Its totient is φ = 27986702316480.

The previous prime is 101221212002021. The next prime is 101221212002033. The reversal of 101221212002022 is 220200212122101.

It is a happy number.

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 = 101221212001986 and 101221212002004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221212002021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159160723 + ... + 159795425.

It is an arithmetic number, because the mean of its divisors is an integer number (2695156289280).

Almost surely, 2101221212002022 is an apocalyptic number.

101221212002022 is an abundant number, since it is smaller than the sum of its proper divisors (157513791768858).

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

101221212002022 is a wasteful number, since it uses less digits than its factorization.

101221212002022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675578 (or 675575 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101221212002022 its reverse (220200212122101), we get a palindrome (321421424124123).

The spelling of 101221212002022 in words is "one hundred one trillion, two hundred twenty-one billion, two hundred twelve million, two thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 279 434 558 651 1302 1953 3906 40829 81658 122487 244974 285803 367461 571606 634703 734922 857409 1265699 1269406 1714818 1904109 2531398 2572227 3797097 3808218 4442921 5144454 5712327 7594194 8859893 8885842 11391291 11424654 13328763 17719786 19675793 22782582 26579679 26657526 39351586 39986289 53159358 59027379 79739037 79972578 118054758 137730551 159478074 177082137 275461102 354164274 413191653 826383306 1239574959 2479149918 25914288787 51828577574 77742866361 155485732722 181400021509 233228599083 362800043018 466457198166 544200064527 803342952397 1088400129054 1606685904794 1632600193581 2410028857191 3265200387162 4820057714382 5623400666779 7230086571573 11246801333558 14460173143146 16870202000337 33740404000674 50610606001011 101221212002022