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101011200012212 = 22717892698863807
BaseRepresentation
bin10110111101111010000000…
…101100011110111110110100
3111020122120120012112112011212
4112331322000230132332310
5101214431414200342322
6554455523224220552
730163550462342150
oct2675720054367664
9436576505475155
10101011200012212
112a204678061006
12b3b479260a758
1344494138c8b39
141ad2d7a912060
15ba27ee4330e2
hex5bde80b1efb4

101011200012212 has 96 divisors (see below), whose sum is σ = 217113658675200. Its totient is φ = 40136448135168.

The previous prime is 101011200012197. The next prime is 101011200012221. The reversal of 101011200012212 is 212210002110101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6964013 + ... + 15827819.

It is an arithmetic number, because the mean of its divisors is an integer number (2261600611200).

Almost surely, 2101011200012212 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 101011200012212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108556829337600).

101011200012212 is an abundant number, since it is smaller than the sum of its proper divisors (116102458662988).

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

101011200012212 is a wasteful number, since it uses less digits than its factorization.

101011200012212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8864193 (or 8864191 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101011200012212 its reverse (212210002110101), we get a palindrome (313221202122313).

The spelling of 101011200012212 in words is "one hundred one trillion, eleven billion, two hundred million, twelve thousand, two hundred twelve".

Divisors: 1 2 4 7 14 17 28 34 68 89 119 178 238 269 356 476 538 623 1076 1246 1513 1883 2492 3026 3766 4573 6052 7532 9146 10591 18292 21182 23941 32011 42364 47882 64022 95764 128044 167587 335174 406997 670348 813994 1627988 2848979 5697958 8863807 11395916 17727614 35455228 62046649 124093298 150684719 248186596 301369438 602738876 788878823 1054793033 1577757646 2109586066 2384364083 3155515292 4219172132 4768728166 5522151761 9537456332 11044303522 13410939991 16690548581 22088607044 26821879982 33381097162 40534189411 53643759964 66762194324 81068378822 93876579937 162136757644 187753159874 212208403387 283739325877 375506319748 424416806774 567478651754 848833613548 1134957303508 1485458823709 2970917647418 3607542857579 5941835294836 7215085715158 14430171430316 25252800003053 50505600006106 101011200012212