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31514114010 = 235231071273361
BaseRepresentation
bin11101010110011000…
…110011011111011010
310000100021100212022210
4131112120303133122
51004020103122020
622251040455550
72163643356261
oct352630633732
9100307325283
1031514114010
1112401994325
12613601a5b6
132c82c89652
14174d5835d8
15c46a103e0
hex7566337da

31514114010 has 128 divisors (see below), whose sum is σ = 80311025664. Its totient is φ = 7898204160.

The previous prime is 31514114003. The next prime is 31514114011. The reversal of 31514114010 is 1041141513.

It is not an unprimeable number, because it can be changed into a prime (31514114011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9374730 + ... + 9378090.

It is an arithmetic number, because the mean of its divisors is an integer number (627429888).

Almost surely, 231514114010 is an apocalyptic number.

31514114010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31514114010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40155512832).

31514114010 is an abundant number, since it is smaller than the sum of its proper divisors (48796911654).

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

31514114010 is a wasteful number, since it uses less digits than its factorization.

31514114010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3628.

The product of its (nonzero) digits is 240, while the sum is 21.

Adding to 31514114010 its reverse (1041141513), we get a palindrome (32555255523).

The spelling of 31514114010 in words is "thirty-one billion, five hundred fourteen million, one hundred fourteen thousand, ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 107 115 127 138 214 230 254 321 345 381 535 635 642 690 762 1070 1270 1605 1905 2461 2921 3210 3361 3810 4922 5842 6722 7383 8763 10083 12305 13589 14605 14766 16805 17526 20166 24610 27178 29210 33610 36915 40767 43815 50415 67945 73830 77303 81534 87630 100830 135890 154606 203835 231909 312547 359627 386515 407670 426847 463818 625094 719254 773030 853694 937641 1078881 1159545 1280541 1562735 1798135 1875282 2134235 2157762 2319090 2561082 3125470 3596270 4268470 4688205 5394405 6402705 8271421 9376410 9817481 10788810 12805410 16542842 19634962 24814263 29452443 41357105 45672629 49087405 49628526 58904886 82714210 91345258 98174810 124071315 137017887 147262215 228363145 248142630 274035774 294524430 456726290 685089435 1050470467 1370178870 2100940934 3151411401 5252352335 6302822802 10504704670 15757057005 31514114010