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126116164020 = 223571127297871
BaseRepresentation
bin111010101110100011…
…0111111000110110100
3110001112020210221020210
41311131012333012310
54031241214222040
6133534215025420
712053163464250
oct1653506770664
9401466727223
10126116164020
1149538317730
122053806b270
13bb7b366032
146165753260
153431dd7480
hex1d5d1bf1b4

126116164020 has 96 divisors (see below), whose sum is σ = 440260079616. Its totient is φ = 26205955200.

The previous prime is 126116163997. The next prime is 126116164043. The reversal of 126116164020 is 20461611621.

126116164020 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (126116163997) and next prime (126116164043).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13644316 + ... + 13653555.

It is an arithmetic number, because the mean of its divisors is an integer number (4586042496).

Almost surely, 2126116164020 is an apocalyptic number.

126116164020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126116164020 is an abundant number, since it is smaller than the sum of its proper divisors (314143915596).

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

126116164020 is a wasteful number, since it uses less digits than its factorization.

126116164020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27297901 (or 27297899 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

Adding to 126116164020 its reverse (20461611621), we get a palindrome (146577775641).

The spelling of 126116164020 in words is "one hundred twenty-six billion, one hundred sixteen million, one hundred sixty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 4620 27297871 54595742 81893613 109191484 136489355 163787226 191085097 272978710 300276581 327574452 382170194 409468065 545957420 573255291 600553162 764340388 818936130 900829743 955425485 1146510582 1201106324 1501382905 1637872260 1801659486 1910850970 2101936067 2293021164 2866276455 3002765810 3603318972 3821701940 4203872134 4504148715 5732552910 6005531620 6305808201 8407744268 9008297430 10509680335 11465105820 12611616402 18016594860 21019360670 25223232804 31529041005 42038721340 63058082010 126116164020