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1144100121010 = 2571113129338711
BaseRepresentation
bin10000101001100001101…
…011100110100110110010
311001101010022020000212221
4100221201223212212302
5122221104112333020
62233331540111254
7145441603366630
oct20514153464662
94041108200787
101144100121010
114012347676a0
1216589899552a
1383b71435b32
143d53640c350
151eb623d86aa
hex10a61ae69b2

1144100121010 has 128 divisors (see below), whose sum is σ = 2596035391488. Its totient is φ = 352663584000.

The previous prime is 1144100121001. The next prime is 1144100121011. The reversal of 1144100121010 is 101210014411.

It is not an unprimeable number, because it can be changed into a prime (1144100121011) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 29535555 + ... + 29574265.

It is an arithmetic number, because the mean of its divisors is an integer number (20281526496).

Almost surely, 21144100121010 is an apocalyptic number.

1144100121010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1144100121010 is an abundant number, since it is smaller than the sum of its proper divisors (1451935270478).

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

1144100121010 is a wasteful number, since it uses less digits than its factorization.

1144100121010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39160.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1144100121010 its reverse (101210014411), we get a palindrome (1245310135421).

The spelling of 1144100121010 in words is "one trillion, one hundred forty-four billion, one hundred million, one hundred twenty-one thousand, ten".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 110 131 154 262 293 385 586 655 770 917 1310 1441 1465 1834 2051 2882 2930 3223 4102 4585 6446 7205 9170 10087 10255 14410 16115 20174 20510 22561 32230 38383 38711 45122 50435 76766 77422 100870 112805 191915 193555 225610 268681 270977 383830 387110 422213 425821 537362 541954 844426 851642 1343405 1354885 2111065 2129105 2686810 2709770 2955491 2980747 4222130 4258210 5071141 5910982 5961494 10142282 11342323 14777455 14903735 22684646 25355705 29554910 29807470 35497987 50711410 55782551 56711615 70995974 79396261 111565102 113423230 124765553 158792522 177489935 249531106 278912755 354979870 390477857 396981305 557825510 623827765 780955714 793962610 873358871 1247655530 1485844313 1746717742 1952389285 2971688626 3904778570 4366794355 7429221565 8733588710 10400910191 14858443130 16344287443 20801820382 32688574886 52004550955 81721437215 104009101910 114410012101 163442874430 228820024202 572050060505 1144100121010