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101101001220212 = 227217593731378763
BaseRepresentation
bin10110111111001101101001…
…010000111010000001110100
3111020222011100121100112221112
4112333031221100322001310
5101222414322303021322
6555005054143534152
730203210026122200
oct2677155120720164
9436864317315845
10101101001220212
112a23976a544794
12b40a0748ba358
134454a254978c6
141ad7459263b00
15ba4d080e35e2
hex5bf36943a074

101101001220212 has 144 divisors (see below), whose sum is σ = 222207231597120. Its totient is φ = 39981539017728.

The previous prime is 101101001220211. The next prime is 101101001220287. The reversal of 101101001220212 is 212022100101101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101001220211) 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, 72637943 + ... + 74016705.

It is an arithmetic number, because the mean of its divisors is an integer number (1543105774980).

Almost surely, 2101101001220212 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 101101001220212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111103615798560).

101101001220212 is an abundant number, since it is smaller than the sum of its proper divisors (121106230376908).

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

101101001220212 is a wasteful number, since it uses less digits than its factorization.

101101001220212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379230 (or 1379221 counting only the distinct ones).

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

Adding to 101101001220212 its reverse (212022100101101), we get a palindrome (313123101321313).

The spelling of 101101001220212 in words is "one hundred one trillion, one hundred one billion, one million, two hundred twenty thousand, two hundred twelve".

Divisors: 1 2 4 7 14 17 28 34 49 59 68 98 118 119 196 236 238 373 413 476 746 826 833 1003 1492 1652 1666 2006 2611 2891 3332 4012 5222 5782 6341 7021 10444 11564 12682 14042 18277 22007 25364 28084 36554 44014 44387 49147 73108 88028 88774 98294 154049 177548 196588 308098 310709 374119 616196 621418 748238 1078343 1242836 1378763 1496476 2156686 2618833 2757526 4313372 5237666 5515052 9651341 10475332 18331831 19302682 23438971 36663662 38605364 46877942 67559387 73327324 81347017 93755884 135118774 162694034 164072797 270237548 325388068 328145594 514278599 569429119 656291188 1028557198 1138858238 1148509579 1382899289 2057114396 2277716476 2297019158 2765798578 3599950193 3986003833 4594038316 5531597156 7199900386 7972007666 8742736183 9680295023 14399800772 15944015332 17485472366 19360590046 25199651351 30342437341 34970944732 38721180092 50399302702 60684874682 61199153281 67762065161 100798605404 121369749364 122398306562 135524130322 212397061387 244796613124 271048260644 424794122774 428394072967 515821434797 849588245548 856788145934 1031642869594 1486779429709 1713576291868 2063285739188 2973558859418 3610750043579 5947117718836 7221500087158 14443000174316 25275250305053 50550500610106 101101001220212