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122428051642533 = 371337211494311621
BaseRepresentation
bin11011110101100100000000…
…100001110101100010100101
3121001111000012102022100021210
4123311210000201311202211
5112021330122210030113
61112214400454102033
734534064151465510
oct3365440041654245
9531430172270253
10122428051642533
113601149950663a
121189346294a919
135340bb9b2c010
142233799475d77
15e2497ba946c3
hex6f59008758a5

122428051642533 has 128 divisors (see below), whose sum is σ = 207375193718784. Its totient is φ = 62516284185600.

The previous prime is 122428051642517. The next prime is 122428051642571. The reversal of 122428051642533 is 335246150824221.

It is not a de Polignac number, because 122428051642533 - 24 = 122428051642517 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122428051642433) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10535064463 + ... + 10535076083.

It is an arithmetic number, because the mean of its divisors is an integer number (1620118700928).

Almost surely, 2122428051642533 is an apocalyptic number.

122428051642533 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122428051642533 is a deficient number, since it is larger than the sum of its proper divisors (84947142076251).

122428051642533 is a wasteful number, since it uses less digits than its factorization.

122428051642533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16835.

The product of its (nonzero) digits is 2764800, while the sum is 48.

The spelling of 122428051642533 in words is "one hundred twenty-two trillion, four hundred twenty-eight billion, fifty-one million, six hundred forty-two thousand, five hundred thirty-three".

Divisors: 1 3 7 13 21 37 39 91 111 211 259 273 481 633 777 1443 1477 2743 3367 4431 4943 7807 8229 10101 11621 14829 19201 23421 34601 34863 54649 57603 64259 81347 101491 103803 151073 163947 182891 192777 244041 304473 429977 449813 453219 548673 710437 1042973 1057511 1280237 1289931 1349439 2131311 2377583 2452031 3009839 3128919 3172533 3840711 5589701 7132749 7300811 7356093 9029517 13558649 16643081 16769103 17164217 21902433 31876403 38590001 39127907 40675947 49929243 51492651 57442603 90725147 94910543 95629209 115770003 117383721 172327809 223134821 270130007 272175441 284731629 402098221 501670013 635076029 669404463 746753839 810390021 1179426911 1206294663 1505010039 1905228087 2125376311 2240261517 3511690091 3538280733 5227276873 6376128933 8255988377 10535070273 12120389233 14877634177 15681830619 24767965131 27629892043 36361167699 44632902531 82889676129 84842724631 157565060029 193409244301 254528173893 448454401621 472695180087 580227732903 1102955420203 1345363204863 3139180811347 3308866260609 5829907221073 9417542434041 17489721663219 40809350547511 122428051642533