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101020011210 = 23257316394331
BaseRepresentation
bin101111000010101000…
…0110000101011001010
3100122202020222021120200
41132011100300223022
53123342110324320
6114224041233030
710204240633056
oct1360520605312
9318666867520
10101020011210
113992a187678
12176b3492776
1396abc35181
144c646dac66
152963a70290
hex1785430aca

101020011210 has 96 divisors (see below), whose sum is σ = 267886277568. Its totient is φ = 26406362880.

The previous prime is 101020011119. The next prime is 101020011259. The reversal of 101020011210 is 12110020101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101020011192 and 101020011201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1023745 + ... + 1118075.

It is an arithmetic number, because the mean of its divisors is an integer number (2790482058).

Almost surely, 2101020011210 is an apocalyptic number.

101020011210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101020011210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133943138784).

101020011210 is an abundant number, since it is smaller than the sum of its proper divisors (166866266358).

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

101020011210 is a wasteful number, since it uses less digits than its factorization.

101020011210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94580 (or 94577 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101020011210 its reverse (12110020101), we get a palindrome (113130031311).

The spelling of 101020011210 in words is "one hundred one billion, twenty million, eleven thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 73 90 146 163 219 326 365 438 489 657 730 815 978 1095 1314 1467 1630 2190 2445 2934 3285 4890 6570 7335 11899 14670 23798 35697 59495 71394 94331 107091 118990 178485 188662 214182 282993 356970 471655 535455 565986 848979 943310 1070910 1414965 1697958 2829930 4244895 6886163 8489790 13772326 15375953 20658489 30751906 34430815 41316978 46127859 61975467 68861630 76879765 92255718 103292445 123950934 138383577 153759530 206584890 230639295 276767154 309877335 461278590 619754670 691917885 1122444569 1383835770 2244889138 3367333707 5612222845 6734667414 10102001121 11224445690 16836668535 20204002242 33673337070 50510005605 101020011210