Search a number
-
+
1022211030132 = 2232172139706847
BaseRepresentation
bin11101110000000001000…
…01100111110001110100
310121201111122101122212200
432320000201213301310
5113221442010431012
62101333001544500
7133565225251635
oct16700041476164
93551448348780
101022211030132
11364576528646
121461404a5130
1375517a67516
143769223b88c
151b8cb67c3dc
hexee00867c74

1022211030132 has 108 divisors (see below), whose sum is σ = 2764609760640. Its totient is φ = 318386057472.

The previous prime is 1022211030103. The next prime is 1022211030173. The reversal of 1022211030132 is 2310301122201.

1022211030132 is a `hidden beast` number, since 1 + 0 + 222 + 110 + 301 + 32 = 666.

It is a super-2 number, since 2×10222110301322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1092733 + ... + 1799579.

Almost surely, 21022211030132 is an apocalyptic number.

1022211030132 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 1022211030132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382304880320).

1022211030132 is an abundant number, since it is smaller than the sum of its proper divisors (1742398730508).

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

1022211030132 is a wasteful number, since it uses less digits than its factorization.

1022211030132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707030 (or 707008 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1022211030132 its reverse (2310301122201), we get a palindrome (3332512152333).

The spelling of 1022211030132 in words is "one trillion, twenty-two billion, two hundred eleven million, thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 139 153 204 278 289 306 417 556 578 612 834 867 1156 1251 1668 1734 2363 2502 2601 3468 4726 5004 5202 7089 9452 10404 14178 21267 28356 40171 42534 80342 85068 120513 160684 241026 361539 482052 706847 723078 1413694 1446156 2120541 2827388 4241082 6361623 8482164 12016399 12723246 24032798 25446492 36049197 48065596 72098394 98251733 108147591 144196788 196503466 204278783 216295182 294755199 393006932 408557566 432590364 589510398 612836349 817115132 884265597 1179020796 1225672698 1670279461 1768531194 1838509047 2451345396 3340558922 3537062388 3677018094 5010838383 6681117844 7354036188 10021676766 15032515149 20043353532 28394750837 30065030298 56789501674 60130060596 85184252511 113579003348 170368505022 255552757533 340737010044 511105515066 1022211030132