Search a number
-
+
928122002000102 = 2713191229351162201
BaseRepresentation
bin1101001100000111110011111…
…0001111001100100011100110
311111201012121010002222102102202
43103001330332033030203212
51433122322330003000402
613045541210033134502
7366331413266015660
oct32301747617144346
94451177102872382
10928122002000102
11249801370047098
12881183186ba432
1330ab56b599b510
14125294b7763530
1572478b3438b02
hex34c1f3e3cc8e6

928122002000102 has 128 divisors (see below), whose sum is σ = 1805648621414400. Its totient is φ = 347456843136000.

The previous prime is 928122002000093. The next prime is 928122002000201. The reversal of 928122002000102 is 201000200221829.

It is a happy number.

It is a super-2 number, since 2×9281220020001022 (a number of 31 digits) contains 22 as substring.

It is a congruent number.

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, 14921304602 + ... + 14921366802.

It is an arithmetic number, because the mean of its divisors is an integer number (14106629854800).

Almost surely, 2928122002000102 is an apocalyptic number.

928122002000102 is a deficient number, since it is larger than the sum of its proper divisors (877526619414298).

928122002000102 is a wasteful number, since it uses less digits than its factorization.

928122002000102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66982.

The product of its (nonzero) digits is 2304, while the sum is 29.

The spelling of 928122002000102 in words is "nine hundred twenty-eight trillion, one hundred twenty-two billion, two million, one hundred two", and thus it is an aban number.

Divisors: 1 2 7 13 14 19 26 38 91 133 182 247 266 494 1229 1729 2458 3458 3511 7022 8603 15977 17206 23351 24577 31954 45643 46702 49154 62201 66709 91286 111839 124402 133418 163457 223678 303563 319501 326914 435407 466963 607126 639002 808613 867217 870814 933926 1181819 1617226 1734434 2124941 2363638 4249882 4315019 5660291 6070519 8272733 8630038 11320582 12141038 15363647 16545466 30205133 30727294 56095247 60410266 76445029 81985361 107545529 112190494 152890058 163970722 215091058 218387711 392666729 436775422 535115203 573897527 785333458 993785377 1065809693 1070230406 1147795054 1452455551 1528713977 1987570754 2131619386 2839040243 2904911102 3057427954 4149366509 5678080486 6956497639 7460667851 8298733018 10167188857 13912995278 14921335702 18881922163 19873281701 20334377714 29045565563 37763844326 39746563402 53941764617 58091131126 107883529234 132173455141 264346910282 268398496819 377592352319 536796993638 755184704638 1878789477733 3489180458647 3757578955466 5099571439561 6978360917294 10199142879122 24424263210529 35697000076927 48848526421058 66294428714293 71394000153854 132588857428586 464061001000051 928122002000102