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101020303212 = 223711372233881
BaseRepresentation
bin101111000010101000…
…1110111111101101100
3100122202021112010010120
41132011101313331230
53123342144200322
6114224051404540
710204243260303
oct1360521677554
9318667463116
10101020303212
113992a366aa4
12176b35b3750
1396ac00805a
144c6477543a
152963acba5c
hex1785477f6c

101020303212 has 96 divisors (see below), whose sum is σ = 241920774144. Its totient is φ = 32800588800.

The previous prime is 101020303193. The next prime is 101020303217. The reversal of 101020303212 is 212303020101.

It is a super-2 number, since 2×1010203032122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101020303191 and 101020303200.

It is not an unprimeable number, because it can be changed into a prime (101020303217) 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, 26027512 + ... + 26031392.

It is an arithmetic number, because the mean of its divisors is an integer number (2520008064).

Almost surely, 2101020303212 is an apocalyptic number.

101020303212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101020303212 is an abundant number, since it is smaller than the sum of its proper divisors (140900470932).

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

101020303212 is a wasteful number, since it uses less digits than its factorization.

101020303212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4319 (or 4317 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 101020303212 its reverse (212303020101), we get a palindrome (313323323313).

The spelling of 101020303212 in words is "one hundred one billion, twenty million, three hundred three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 71 137 142 213 223 274 284 411 426 446 548 669 822 852 892 1338 1644 2676 3881 7762 9727 11643 15524 15833 19454 23286 29181 30551 31666 38908 46572 47499 58362 61102 63332 91653 94998 116724 122204 183306 189996 275551 366612 531697 551102 826653 865463 1063394 1102204 1595091 1653306 1730926 2126788 2169121 2596389 3190182 3306612 3461852 4338242 5192778 6380364 6507363 8676484 10385556 13014726 26029452 37750487 61447873 75500974 113251461 118568431 122895746 151001948 184343619 226502922 237136862 245791492 355705293 368687238 453005844 474273724 711410586 737374476 1422821172 8418358601 16836717202 25255075803 33673434404 50510151606 101020303212