Search a number
-
+
21122022011002 = 211317310113730661
BaseRepresentation
bin1001100110101110110101…
…00111100111000001111010
32202210020122000211100021121
410303113122213213001322
510232030400113323002
6112531153431455454
74310005252531063
oct463273247470172
982706560740247
1021122022011002
116803887858920
12245170a52758a
13ba2a4b649843
1453045039556a
15269673d62237
hex1335da9e707a

21122022011002 has 128 divisors (see below), whose sum is σ = 36792892901376. Its totient is φ = 9006681600000.

The previous prime is 21122022010931. The next prime is 21122022011011. The reversal of 21122022011002 is 20011022022112.

It is a happy number.

It is a super-2 number, since 2×211220220110022 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 688873552 + ... + 688904212.

It is an arithmetic number, because the mean of its divisors is an integer number (287444475792).

Almost surely, 221122022011002 is an apocalyptic number.

21122022011002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

21122022011002 is a deficient number, since it is larger than the sum of its proper divisors (15670870890374).

21122022011002 is a wasteful number, since it uses less digits than its factorization.

21122022011002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31016.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21122022011002 its reverse (20011022022112), we get a palindrome (41133044033114).

It can be divided in two parts, 211220 and 22011002, that added together give a palindrome (22222222).

The spelling of 21122022011002 in words is "twenty-one trillion, one hundred twenty-two billion, twenty-two million, eleven thousand, two".

Divisors: 1 2 11 22 31 62 73 101 137 146 202 274 341 682 803 1111 1507 1606 2222 2263 3014 3131 4247 4526 6262 7373 8494 10001 13837 14746 20002 24893 27674 30661 34441 46717 49786 61322 68882 81103 93434 110011 152207 162206 220022 228563 304414 310031 337271 428947 457126 620062 674542 857894 950491 1010101 1900982 2020202 2238253 2514193 3096761 3410341 4200557 4476506 4718417 5028386 6193522 6820682 8401114 9436834 10455401 11111111 20910802 22222222 24620783 31313131 34064371 46206127 49241566 62626262 68128742 69385843 92412254 95999591 130217267 138771686 191999182 226063553 260434534 306640661 344444441 424256257 452127106 613281322 688888882 763244273 848512514 1055995501 1432389937 1526488546 2111991002 2486699083 2864779874 3373047271 4666818827 4973398166 6746094542 7007970143 9333637654 9505860491 13151943967 14015940286 19011720982 26303887934 30970706761 61941413522 77087671573 104564465401 144671383637 154175343146 209128930802 289342767274 340677774371 681355548742 960091909591 1920183819182 10561011005501 21122022011002