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101020222101000 = 2335337910092091
BaseRepresentation
bin10110111110000010011010…
…011101000001011000001000
3111020200102211222012010022110
4112332002122131001120020
5101220103403324213000
6554504014355022320
730164320164002046
oct2676023235013010
9436612758163273
10101020222101000
112a208487869934
12b3b648bb9a9a0
13444a220b11207
141ad3594c37396
15ba2b7b524850
hex5be09a741608

101020222101000 has 128 divisors (see below), whose sum is σ = 323701555282560. Its totient is φ = 26210652192000.

The previous prime is 101020222100957. The next prime is 101020222101023. The reversal of 101020222101000 is 101222020101.

101020222101000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 454935046 + ... + 455157045.

It is an arithmetic number, because the mean of its divisors is an integer number (2528918400645).

Almost surely, 2101020222101000 is an apocalyptic number.

101020222101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101020222101000 is an abundant number, since it is smaller than the sum of its proper divisors (222681333181560).

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

101020222101000 is a wasteful number, since it uses less digits than its factorization.

101020222101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910092152 (or 910092138 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101020222101000 its reverse (101222020101), we get a palindrome (101121444121101).

The spelling of 101020222101000 in words is "one hundred one trillion, twenty billion, two hundred twenty-two million, one hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 125 148 150 185 200 222 250 296 300 370 375 444 500 555 600 740 750 888 925 1000 1110 1480 1500 1850 2220 2775 3000 3700 4440 4625 5550 7400 9250 11100 13875 18500 22200 27750 37000 55500 111000 910092091 1820184182 2730276273 3640368364 4550460455 5460552546 7280736728 9100920910 10921105092 13651381365 18201841820 21842210184 22752302275 27302762730 33673407367 36403683640 45504604550 54605525460 67346814734 68256906825 91009209100 101020222101 109211050920 113761511375 134693629468 136513813650 168367036835 182018418200 202040444202 227523022750 269387258936 273027627300 336734073670 341284534125 404080888404 455046045500 505101110505 546055254600 673468147340 682569068250 808161776808 841835184175 910092091000 1010202221010 1346936294680 1365138136500 1683670368350 2020404442020 2525505552525 2730276273000 3367340736700 4040808884040 4209175920875 5051011105050 6734681473400 8418351841750 10102022210100 12627527762625 16836703683500 20204044420200 25255055525250 33673407367000 50510111050500 101020222101000