Search a number
-
+
1002021202101 = 3175373101137367
BaseRepresentation
bin11101001010011010001…
…11100010100010110101
310112210101120200010112010
432211031013202202311
5112404114411431401
62044153331514433
7132252006454353
oct16451507424265
93483346603463
101002021202101
11356a55933a57
12142246a58a19
137364ac5750a
14366d8a607d3
151b0e8e15ed6
hexe94d1e28b5

1002021202101 has 128 divisors (see below), whose sum is σ = 1490338953216. Its totient is φ = 596356300800.

The previous prime is 1002021202099. The next prime is 1002021202183. The reversal of 1002021202101 is 1012021202001.

1002021202101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1002021202101 - 21 = 1002021202099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002021202201) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2730302820 + ... + 2730303186.

It is an arithmetic number, because the mean of its divisors is an integer number (11643273072).

Almost surely, 21002021202101 is an apocalyptic number.

It is an amenable number.

1002021202101 is a deficient number, since it is larger than the sum of its proper divisors (488317751115).

1002021202101 is a wasteful number, since it uses less digits than its factorization.

1002021202101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751.

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

Adding to 1002021202101 its reverse (1012021202001), we get a palindrome (2014042404102).

The spelling of 1002021202101 in words is "one trillion, two billion, twenty-one million, two hundred two thousand, one hundred one".

Divisors: 1 3 17 51 53 73 101 137 159 219 303 367 411 901 1101 1241 1717 2329 2703 3723 3869 5151 5353 6239 6987 7261 7373 10001 11607 13837 16059 18717 19451 21783 22119 26791 30003 37067 41511 50279 58353 65773 80373 91001 111201 123437 125341 150837 170017 197319 235229 273003 330667 370311 376023 390769 455447 510051 530053 630139 705687 733361 854743 992001 1010101 1172307 1366341 1419923 1590159 1890417 1964551 2200083 2564229 2664787 2705891 3030303 3670367 4259769 5078179 5893653 6643073 7994361 8117673 9010901 11011101 12467137 15234537 17171717 19929219 24138691 27032703 33397367 37401411 45301379 46000147 51515151 53535353 62396239 72416073 86329043 100192101 135904137 138000441 143412223 160606059 187188717 194529451 258987129 269143487 370707067 430236669 583588353 807430461 910101001 1112121201 2438007791 2730303003 3307000667 4575439279 6302020139 7314023373 9921002001 13726317837 18906060417 19647474551 58942423653 334007067367 1002021202101