Search a number
-
+
106032021315 = 35117920633943
BaseRepresentation
bin110001011000000000…
…0000011111101000011
3101010200112221202220120
41202300000003331003
53214123144140230
6120413242111323
710442400211323
oct1426000037503
9333615852816
10106032021315
1140a71347a90
1218671aab543
139cca40a51c
1451bc207283
152b58a9a310
hex18b0003f43

106032021315 has 64 divisors (see below), whose sum is σ = 187555184640. Its totient is φ = 50721240960.

The previous prime is 106032021311. The next prime is 106032021317. The reversal of 106032021315 is 513120230601.

It is not a de Polignac number, because 106032021315 - 22 = 106032021311 is a prime.

It is a super-2 number, since 2×1060320213152 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106032021311) 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, 26889234 + ... + 26893176.

It is an arithmetic number, because the mean of its divisors is an integer number (2930549760).

Almost surely, 2106032021315 is an apocalyptic number.

106032021315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106032021315 is a deficient number, since it is larger than the sum of its proper divisors (81523163325).

106032021315 is a wasteful number, since it uses less digits than its factorization.

106032021315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6104.

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 106032021315 its reverse (513120230601), we get a palindrome (619152251916).

The spelling of 106032021315 in words is "one hundred six billion, thirty-two million, twenty-one thousand, three hundred fifteen".

Divisors: 1 3 5 11 15 33 55 79 165 237 395 869 1185 2063 2607 3943 4345 6189 10315 11829 13035 19715 22693 30945 43373 59145 68079 113465 130119 162977 216865 311497 340395 488931 650595 814885 934491 1557485 1792747 2444655 3426467 4672455 5378241 8134409 8963735 10279401 17132335 24403227 26891205 40672045 51397005 89478499 122016135 268435497 447392495 642618311 1342177485 1927854933 3213091555 7068801421 9639274665 21206404263 35344007105 106032021315