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3020123232100 = 2252138931698237
BaseRepresentation
bin101011111100101101010…
…111110101011101100100
3101200201110120200101100201
4223330231113311131210
5343440203021411400
610231231522120244
7431124316623202
oct53745527653544
911621416611321
103020123232100
11a64910914907
124093a11b0084
1318ba478c3930
14a62636da072
155386120306a
hex2bf2d5f5764

3020123232100 has 144 divisors (see below), whose sum is σ = 7140215653200. Its totient is φ = 1102111211520.

The previous prime is 3020123232083. The next prime is 3020123232109. The reversal of 3020123232100 is 12323210203.

It can be written as a sum of positive squares in 24 ways, for example, as 2254484232036 + 765639000064 = 1501494^2 + 875008^2 .

It is a super-2 number, since 2×30201232321002 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3020123232109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 366649182 + ... + 366657418.

It is an arithmetic number, because the mean of its divisors is an integer number (49584830925).

Almost surely, 23020123232100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3020123232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3570107826600).

3020123232100 is an abundant number, since it is smaller than the sum of its proper divisors (4120092421100).

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

3020123232100 is a wasteful number, since it uses less digits than its factorization.

3020123232100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11522 (or 11515 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 3020123232100 its reverse (12323210203), we get a palindrome (3032446442303).

The spelling of 3020123232100 in words is "three trillion, twenty billion, one hundred twenty-three million, two hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 89 100 130 178 260 325 356 445 650 890 1157 1300 1780 2225 2314 3169 4450 4628 5785 6338 8237 8900 11570 12676 15845 16474 23140 28925 31690 32948 41185 41197 57850 63380 79225 82370 82394 107081 115700 158450 164740 164788 205925 205985 214162 282041 316900 411850 411970 428324 535405 564082 733093 823700 823940 1029925 1070810 1128164 1410205 1466186 2059850 2141620 2677025 2820410 2932372 3665465 3666533 4119700 5354050 5640820 7051025 7330930 7333066 9530209 10708100 14102050 14661860 14666132 18327325 18332665 19060418 26103053 28204100 36654650 36665330 38120836 47651045 52206106 73309300 73330660 91663325 95302090 104412212 130515265 183326650 190604180 238255225 261030530 339339689 366653300 476510450 522061060 652576325 678679378 953020900 1305152650 1357358756 1696698445 2323171717 2610305300 3393396890 4646343434 6786793780 8483492225 9292686868 11615858585 16966984450 23231717170 30201232321 33933968900 46463434340 58079292925 60402464642 116158585850 120804929284 151006161605 232317171700 302012323210 604024646420 755030808025 1510061616050 3020123232100