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145013340021 = 3112379127137139
BaseRepresentation
bin1000011100001101110…
…1111111011101110101
3111212022020011221101020
42013003131333131311
54333441403340041
6150341311051353
713322365023654
oct2070335773565
9455266157336
10145013340021
1156555282760
1224130810b59
13108a0411794
1470393a319b
153b8ae10866
hex21c377f775

145013340021 has 128 divisors (see below), whose sum is σ = 227907993600. Its totient is φ = 81158837760.

The previous prime is 145013340001. The next prime is 145013340037. The reversal of 145013340021 is 120043310541.

It is a happy number.

It is not a de Polignac number, because 145013340021 - 29 = 145013339509 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 145013339973 and 145013340000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145013340001) 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, 1043261370 + ... + 1043261508.

It is an arithmetic number, because the mean of its divisors is an integer number (1780531200).

Almost surely, 2145013340021 is an apocalyptic number.

145013340021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

145013340021 is a deficient number, since it is larger than the sum of its proper divisors (82894653579).

145013340021 is a wasteful number, since it uses less digits than its factorization.

145013340021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519.

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 145013340021 its reverse (120043310541), we get a palindrome (265056650562).

The spelling of 145013340021 in words is "one hundred forty-five billion, thirteen million, three hundred forty thousand, twenty-one".

Divisors: 1 3 11 23 33 69 79 127 137 139 237 253 381 411 417 759 869 1397 1507 1529 1817 2607 2921 3151 3197 4191 4521 4587 5451 8763 9453 9591 10033 10823 10981 17399 17653 19043 19987 30099 32131 32469 32943 34661 35167 52197 52959 57129 59961 96393 103983 105501 110363 119053 120791 191389 194183 209473 230759 248929 252563 331089 357159 362373 400177 406019 437989 574167 582549 628419 692277 746787 757689 1200531 1218057 1313967 1374521 1394587 1504397 2418461 2538349 2738219 2778193 4123563 4183761 4401947 4466209 4513191 4817879 7255383 7615047 8214657 8334579 13205841 13398627 14453637 15119731 15340457 16548367 26603071 31613983 32075501 34601131 45359193 46021371 49645101 55624603 79809213 94841949 96226503 103803393 166873809 191058419 347753813 352830511 380612441 573175257 611870633 1043261439 1058491533 1141837323 1835611899 2101642609 4394343637 6304927827 13183030911 48337780007 145013340021