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1010660216112 = 243337163387911
BaseRepresentation
bin11101011010100000000…
…10110000110100110000
310120121200122111111212000
432231100002300310300
5113024313003403422
62052142455534000
7133006050044211
oct16552002606460
93517618444760
101010660216112
1135a689387058
12143a5808a300
13743c69a6021
1436cb8149408
151b452588cac
hexeb500b0d30

1010660216112 has 160 divisors (see below), whose sum is σ = 2997659804160. Its totient is φ = 325769921280.

The previous prime is 1010660216077. The next prime is 1010660216117. The reversal of 1010660216112 is 2116120660101.

1010660216112 is a `hidden beast` number, since 10 + 10 + 6 + 6 + 0 + 21 + 611 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1010660216117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2411437 + ... + 2799347.

It is an arithmetic number, because the mean of its divisors is an integer number (18735373776).

Almost surely, 21010660216112 is an apocalyptic number.

1010660216112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010660216112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498829902080).

1010660216112 is an abundant number, since it is smaller than the sum of its proper divisors (1986999588048).

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

1010660216112 is a wasteful number, since it uses less digits than its factorization.

1010660216112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388128 (or 388116 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 1010660216112 its reverse (2116120660101), we get a palindrome (3126780876213).

The spelling of 1010660216112 in words is "one trillion, ten billion, six hundred sixty million, two hundred sixteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 108 111 144 148 163 216 222 296 326 333 432 444 489 592 652 666 888 978 999 1304 1332 1467 1776 1956 1998 2608 2664 2934 3912 3996 4401 5328 5868 6031 7824 7992 8802 11736 12062 15984 17604 18093 23472 24124 35208 36186 48248 54279 70416 72372 96496 108558 144744 162837 217116 289488 325674 387911 434232 651348 775822 868464 1163733 1302696 1551644 2327466 2605392 3103288 3491199 4654932 6206576 6982398 9309864 10473597 13964796 14352707 18619728 20947194 27929592 28705414 41894388 43058121 55859184 57410828 63229493 83788776 86116242 114821656 126458986 129174363 167577552 172232484 189688479 229643312 252917972 258348726 344464968 379376958 387523089 505835944 516697452 569065437 688929936 758753916 775046178 1011671888 1033394904 1138130874 1517507832 1550092356 1707196311 2066789808 2276261748 2339491241 3035015664 3100184712 3414392622 4552523496 4678982482 6200369424 6828785244 7018473723 9105046992 9357964964 13657570488 14036947446 18715929928 21055421169 27315140976 28073894892 37431859856 42110842338 56147789784 63166263507 84221684676 112295579568 126332527014 168443369352 252665054028 336886738704 505330108056 1010660216112