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34022341020030 = 235111939713668037
BaseRepresentation
bin1111011110001011100011…
…00011010000100101111110
311110110111121102221212102120
413233011301203100211332
513424410223300120110
6200205351522503410
710111014220054446
oct757056143204576
9143414542855376
1034022341020030
11a9278805aa740
123995911204b66
1315ca3a691a65c
1485899387b126
153deeec2c5870
hex1ef1718d097e

34022341020030 has 128 divisors (see below), whose sum is σ = 94001111262720. Its totient is φ = 7794060848640.

The previous prime is 34022341019963. The next prime is 34022341020047. The reversal of 34022341020030 is 3002014322043.

It is a super-2 number, since 2×340223410200302 (a number of 28 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, 4344829 + ... + 9323208.

It is an arithmetic number, because the mean of its divisors is an integer number (734383681740).

Almost surely, 234022341020030 is an apocalyptic number.

34022341020030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34022341020030 is an abundant number, since it is smaller than the sum of its proper divisors (59978770242690).

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

34022341020030 is a wasteful number, since it uses less digits than its factorization.

34022341020030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13668474.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 34022341020030 its reverse (3002014322043), we get a palindrome (37024355342073).

The spelling of 34022341020030 in words is "thirty-four trillion, twenty-two billion, three hundred forty-one million, twenty thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 209 285 330 397 418 570 627 794 1045 1191 1254 1985 2090 2382 3135 3970 4367 5955 6270 7543 8734 11910 13101 15086 21835 22629 26202 37715 43670 45258 65505 75430 82973 113145 131010 165946 226290 248919 414865 497838 829730 1244595 2489190 13668037 27336074 41004111 68340185 82008222 136680370 150348407 205020555 259692703 300696814 410041110 451045221 519385406 751742035 779078109 902090442 1298463515 1503484070 1558156218 2255226105 2596927030 2856619733 3895390545 4510452210 5426210689 5713239466 7790781090 8569859199 10852421378 14283098665 16278632067 17139718398 27131053445 28566197330 32557264134 42849295995 54262106890 59688317579 81393160335 85698591990 103098003091 119376635158 162786320670 179064952737 206196006182 298441587895 309294009273 358129905474 515490015455 596883175790 618588018546 895324763685 1030980030910 1134078034001 1546470046365 1790649527370 2268156068002 3092940092730 3402234102003 5670390170005 6804468204006 11340780340010 17011170510015 34022341020030