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101000210122000 = 245373147230627
BaseRepresentation
bin10110111101101111110001…
…101001011000010100010000
3111020121112012022010020222001
4112331233301221120110100
5101214241412242401000
6554450504520523344
730163011234664000
oct2675576151302420
9436545168106861
10101000210122000
112a1aaa485a8912
12b3b2626020554
134448381b01017
141ad2617114000
15ba23a96de46a
hex5bdbf1a58510

101000210122000 has 160 divisors (see below), whose sum is σ = 284802926803200. Its totient is φ = 34628643235200.

The previous prime is 101000210121997. The next prime is 101000210122037. The reversal of 101000210122000 is 221012000101.

101000210122000 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 (10).

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, 72929314 + ... + 74301313.

It is an arithmetic number, because the mean of its divisors is an integer number (1780018292520).

Almost surely, 2101000210122000 is an apocalyptic number.

101000210122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101000210122000 is an abundant number, since it is smaller than the sum of its proper divisors (183802716681200).

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

101000210122000 is an equidigital number, since it uses as much as digits as its factorization.

101000210122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147230671 (or 147230641 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101000210122000 its reverse (221012000101), we get a palindrome (101221222122101).

The spelling of 101000210122000 in words is "one hundred one trillion, two hundred ten million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 125 140 175 196 200 245 250 280 343 350 392 400 490 500 560 686 700 784 875 980 1000 1225 1372 1400 1715 1750 1960 2000 2450 2744 2800 3430 3500 3920 4900 5488 6125 6860 7000 8575 9800 12250 13720 14000 17150 19600 24500 27440 34300 42875 49000 68600 85750 98000 137200 171500 343000 686000 147230627 294461254 588922508 736153135 1030614389 1177845016 1472306270 2061228778 2355690032 2944612540 3680765675 4122457556 5153071945 5889225080 7214300723 7361531350 8244915112 10306143890 11778450160 14428601446 14723062700 16489830224 18403828375 20612287780 25765359725 28857202892 29446125400 36071503615 36807656750 41224575560 50500105061 51530719450 57714405784 58892250800 72143007230 73615313500 82449151120 101000210122 103061438900 115428811568 128826798625 144286014460 147230627000 180357518075 202000420244 206122877800 252500525305 257653597250 288572028920 294461254000 360715036150 404000840488 412245755600 505001050610 515307194500 577144057840 721430072300 808001680976 901787590375 1010002101220 1030614389000 1262502626525 1442860144600 1803575180750 2020004202440 2061228778000 2525005253050 2885720289200 3607150361500 4040008404880 5050010506100 6312513132625 7214300723000 10100021012200 12625026265250 14428601446000 20200042024400 25250052530500 50500105061000 101000210122000