Search a number
-
+
2111122022152 = 23111331531123181
BaseRepresentation
bin11110101110001000101…
…011011001111100001000
321110211011201112110101011
4132232020223121330020
5234042034214202102
64253500331333304
7305344400052103
oct36561053317410
97424151473334
102111122022152
1174435a387830
122a11965b1234
131241023528c0
1474270aa573a
1539dad85b2d7
hex1eb88ad9f08

2111122022152 has 128 divisors (see below), whose sum is σ = 4890963409920. Its totient is φ = 841037184000.

The previous prime is 2111122022081. The next prime is 2111122022153. The reversal of 2111122022152 is 2512202211112.

It is a super-2 number, since 2×21111220221522 (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2111122022153) 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, 1318002 + ... + 2441182.

It is an arithmetic number, because the mean of its divisors is an integer number (38210651640).

Almost surely, 22111122022152 is an apocalyptic number.

2111122022152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2111122022152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2445481704960).

2111122022152 is an abundant number, since it is smaller than the sum of its proper divisors (2779841387768).

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

2111122022152 is a wasteful number, since it uses less digits than its factorization.

2111122022152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123295 (or 1123291 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

Adding to 2111122022152 its reverse (2512202211112), we get a palindrome (4623324233264).

The spelling of 2111122022152 in words is "two trillion, one hundred eleven billion, one hundred twenty-two million, twenty-two thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 13 22 26 31 44 52 53 62 88 104 106 124 143 212 248 286 341 403 424 572 583 682 689 806 1144 1166 1364 1378 1612 1643 2332 2728 2756 3224 3286 4433 4664 5512 6572 7579 8866 13144 15158 17732 18073 21359 30316 35464 36146 42718 60632 72292 85436 144584 170872 234949 469898 939796 1123181 1879592 2246362 4492724 8985448 12354991 14601353 24709982 29202706 34818611 49419964 58405412 59528593 69637222 98839928 116810824 119057186 139274444 160614883 238114372 278548888 321229766 383004721 452641943 476228744 642459532 654814523 766009442 773871709 905283886 1284919064 1309629046 1532018884 1547743418 1810567772 1845386383 2619258092 3064037768 3095486836 3621135544 3690772766 4979061373 5238516184 6190973672 7381545532 8512588799 9958122746 14763091064 17025177598 19916245492 20299250213 23990022979 34050355196 39832490984 40598500426 47980045958 68100710392 81197000852 95960091916 162394001704 191920183832 263890252769 527780505538 1055561011076 2111122022152