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201024430422123 = 37111773953735821
BaseRepresentation
bin101101101101010010100101…
…110001000011100001101011
3222100202202012012012111220110
4231231102211301003201223
5202322041013142001443
61551313203132425403
760225351533243160
oct5555224561034153
9870682165174813
10201024430422123
1159063a89305a50
121a667a6b018263
1388226a3a874a9
14378d8c490a067
1518391904b9233
hexb6d4a5c4386b

201024430422123 has 128 divisors (see below), whose sum is σ = 359051373471744. Its totient is φ = 96837208473600.

The previous prime is 201024430422073. The next prime is 201024430422133. The reversal of 201024430422123 is 321224034420102.

201024430422123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 201024430422123 - 210 = 201024430421099 is a prime.

It is a super-2 number, since 2×2010244304221232 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201024430422133) 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, 272829553 + ... + 273565373.

It is an arithmetic number, because the mean of its divisors is an integer number (2805088855248).

Almost surely, 2201024430422123 is an apocalyptic number.

201024430422123 is a deficient number, since it is larger than the sum of its proper divisors (158026943049621).

201024430422123 is a wasteful number, since it uses less digits than its factorization.

201024430422123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736885.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 201024430422123 its reverse (321224034420102), we get a palindrome (522248464842225).

The spelling of 201024430422123 in words is "two hundred one trillion, twenty-four billion, four hundred thirty million, four hundred twenty-two thousand, one hundred twenty-three".

Divisors: 1 3 7 11 17 21 33 51 73 77 119 187 219 231 357 511 561 803 953 1241 1309 1533 2409 2859 3723 3927 5621 6671 8687 10483 13651 16201 16863 20013 26061 31449 40953 48603 69569 73381 95557 113407 178211 208707 220143 286671 340221 486983 534633 735821 765259 1182673 1247477 1460949 2207463 2295777 3548019 3742431 5150747 5356813 8094031 8278711 12508957 13009403 15452241 16070439 24282093 24836133 37526871 39028209 53714933 56658217 87562699 91065821 137598527 161144799 169974651 262688097 273197463 376004531 412795581 590864263 701237413 913153861 963189689 1128013593 1772592789 2103712239 2739461583 2889569067 4136049841 4908661891 6392077027 7713611543 10044692471 11921036021 12408149523 14725985673 19176231081 23140834629 30134077413 35763108063 51190331149 53995280801 70312847297 83447252147 131131396231 153570993447 161985842403 210938541891 250341756441 358332318043 393394188693 563093642639 870235629533 917919773617 1074996954129 1689280927917 2610706888599 2753759320851 3941655498473 6091649406731 9572591924863 11824966495419 18274948220193 28717775774589 67008143474041 201024430422123