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101211212223030 = 235713371001992003
BaseRepresentation
bin10111000000110100010010…
…010110100001001000110110
3111021100200211101210120202210
4113000310102112201020312
5101231221030312114110
6555131442232114250
730214161122154210
oct2700642226411066
9437320741716683
10101211212223030
112a281485802398
12b4274b2235986
13446223a601c40
141adc9124915b0
15ba7b089ba520
hex5c0d125a1236

101211212223030 has 128 divisors (see below), whose sum is σ = 307042413769728. Its totient is φ = 20777306153472.

The previous prime is 101211212222969. The next prime is 101211212223031. The reversal of 101211212223030 is 30322212112101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 101211212222988 and 101211212223006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211212223031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 500894992 + ... + 501097011.

It is an arithmetic number, because the mean of its divisors is an integer number (2398768857576).

Almost surely, 2101211212223030 is an apocalyptic number.

101211212223030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101211212223030 is an abundant number, since it is smaller than the sum of its proper divisors (205831201546698).

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

101211212223030 is a wasteful number, since it uses less digits than its factorization.

101211212223030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001992070.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 101211212223030 its reverse (30322212112101), we get a palindrome (131533424335131).

The spelling of 101211212223030 in words is "one hundred one trillion, two hundred eleven billion, two hundred twelve million, two hundred twenty-three thousand, thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 37 39 42 65 70 74 78 91 105 111 130 182 185 195 210 222 259 273 370 390 455 481 518 546 555 777 910 962 1110 1295 1365 1443 1554 2405 2590 2730 2886 3367 3885 4810 6734 7215 7770 10101 14430 16835 20202 33670 50505 101010 1001992003 2003984006 3005976009 5009960015 6011952018 7013944021 10019920030 13025896039 14027888042 15029880045 21041832063 26051792078 30059760090 35069720105 37073704111 39077688117 42083664126 65129480195 70139440210 74147408222 78155376234 91181272273 105209160315 111221112333 130258960390 182362544546 185368520555 195388440585 210418320630 222442224666 259515928777 273543816819 370737041110 390776881170 455906361365 481958153443 519031857554 547087633638 556105561665 778547786331 911812722730 963916306886 1112211123330 1297579643885 1367719084095 1445874460329 1557095572662 2409790767215 2595159287770 2735438168190 2891748920658 3373707074101 3892738931655 4819581534430 6747414148202 7229372301645 7785477863310 10121121222303 14458744603290 16868535370505 20242242444606 33737070741010 50605606111515 101211212223030