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220013200221012 = 2232113747319487573
BaseRepresentation
bin110010000001100111010000…
…101001010010001101010100
31001212000001112012122021021200
4302001213100221102031110
5212314144013224033022
62055532400250112500
764225300126351662
oct6201472051221524
91055001465567250
10220013200221012
116411508a879850
122081404771b730
13959c204278383
143c489a5049c32
151a680acc26bac
hexc819d0a52354

220013200221012 has 144 divisors (see below), whose sum is σ = 636357905793792. Its totient is φ = 63488570307840.

The previous prime is 220013200220963. The next prime is 220013200221029. The reversal of 220013200221012 is 210122002310022.

220013200221012 is a `hidden beast` number, since 220 + 0 + 1 + 320 + 0 + 22 + 101 + 2 = 666.

It is a super-2 number, since 2×2200132002210122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159055143 + ... + 160432430.

It is an arithmetic number, because the mean of its divisors is an integer number (4419152123568).

Almost surely, 2220013200221012 is an apocalyptic number.

220013200221012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

220013200221012 is an abundant number, since it is smaller than the sum of its proper divisors (416344705572780).

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

220013200221012 is a wasteful number, since it uses less digits than its factorization.

220013200221012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319487678 (or 319487673 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 220013200221012 its reverse (210122002310022), we get a palindrome (430135202531034).

The spelling of 220013200221012 in words is "two hundred twenty trillion, thirteen billion, two hundred million, two hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 47 66 74 94 99 111 132 141 148 188 198 222 282 333 396 407 423 444 517 564 666 814 846 1034 1221 1332 1551 1628 1692 1739 2068 2442 3102 3478 3663 4653 4884 5217 6204 6956 7326 9306 10434 14652 15651 18612 19129 20868 31302 38258 57387 62604 76516 114774 172161 229548 344322 688644 319487573 638975146 958462719 1277950292 1916925438 2875388157 3514363303 3833850876 5750776314 7028726606 10543089909 11501552628 11821040201 14057453212 15015915931 21086179818 23642080402 30031831862 31629269727 35463120603 42172359636 45047747793 47284160804 60063663724 63258539454 70926241206 90095495586 106389361809 126517078908 130031442211 135143243379 141852482412 165175075241 180190991172 212778723618 260062884422 270286486758 330350150482 390094326633 425557447236 495525225723 520125768844 540572973516 555588889447 660700300964 780188653266 991050451446 1111177778894 1170282979899 1486575677169 1560377306532 1666766668341 1982100902892 2222355557788 2340565959798 2973151354338 3333533336682 4681131919596 5000300005023 5946302708676 6111477783917 6667066673364 10000600010046 12222955567834 18334433351751 20001200020092 24445911135668 36668866703502 55003300055253 73337733407004 110006600110506 220013200221012