Search a number
-
+
1001211220122 = 23233729075843
BaseRepresentation
bin11101001000111001101…
…01101101000010011010
310112201022010112210010120
432210130311231002122
5112400440033020442
62043541115054110
7132222642645021
oct16443465550232
93481263483116
101001211220122
1135667a6a5563
1214205b741336
137354c1bb039
143665d2578b8
151b09cc6b4ec
hexe91cd6d09a

1001211220122 has 96 divisors (see below), whose sum is σ = 2150218732032. Its totient is φ = 310203470016.

The previous prime is 1001211220117. The next prime is 1001211220187. The reversal of 1001211220122 is 2210221121001.

1001211220122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171349333 + ... + 171355175.

It is an arithmetic number, because the mean of its divisors is an integer number (22398111792).

Almost surely, 21001211220122 is an apocalyptic number.

1001211220122 is an abundant number, since it is smaller than the sum of its proper divisors (1149007511910).

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

1001211220122 is a wasteful number, since it uses less digits than its factorization.

1001211220122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6852 (or 6815 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1001211220122 its reverse (2210221121001), we get a palindrome (3211432341123).

The spelling of 1001211220122 in words is "one trillion, one billion, two hundred eleven million, two hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 23 37 46 69 74 111 138 222 851 907 1369 1702 1814 2553 2721 2738 4107 5106 5442 5843 8214 11686 17529 20861 31487 33559 35058 41722 62583 62974 67118 94461 100677 125166 134389 188922 201354 216191 268778 403167 432382 648573 771857 806334 1241683 1297146 1543714 2315571 2483366 3725049 4631142 4972393 5299601 7450098 7999067 9944786 10599202 14917179 15898803 15998134 23997201 28558709 29834358 31797606 47994402 57117418 85676127 121890823 171352254 183978541 196085237 243781646 365672469 367957082 392170474 551935623 588255711 731344938 1103871246 1176511422 4509960451 7255153769 9019920902 13529881353 14510307538 21765461307 27059762706 43530922614 166868536687 333737073374 500605610061 1001211220122