Search a number
-
+
1102011220191 = 37174797198963
BaseRepresentation
bin10000000010010100111…
…111001100000011011111
310220100111001112100011110
4100002110333030003133
5121023404333021231
62202131300553103
7142421602550160
oct20022477140337
93810431470143
101102011220191
113953a6671542
121596b13b2793
137cbc46806ab
143b4a2643767
151d9ec32d046
hex10094fcc0df

1102011220191 has 64 divisors (see below), whose sum is σ = 1784424038400. Its totient is φ = 590552495616.

The previous prime is 1102011220151. The next prime is 1102011220237. The reversal of 1102011220191 is 1910221102011.

It is not a de Polignac number, because 1102011220191 - 215 = 1102011187423 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102011220111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 122946676 + ... + 122955638.

It is an arithmetic number, because the mean of its divisors is an integer number (27881625600).

Almost surely, 21102011220191 is an apocalyptic number.

1102011220191 is a deficient number, since it is larger than the sum of its proper divisors (682412818209).

1102011220191 is a wasteful number, since it uses less digits than its factorization.

1102011220191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10188.

The product of its (nonzero) digits is 72, while the sum is 21.

The spelling of 1102011220191 in words is "one trillion, one hundred two billion, eleven million, two hundred twenty thousand, one hundred ninety-one".

Divisors: 1 3 7 17 21 51 119 357 479 719 1437 2157 3353 5033 8143 8963 10059 12223 15099 24429 26889 36669 57001 62741 85561 152371 171003 188223 256683 344401 457113 1033203 1066597 2410807 3199791 4293277 5854817 6444397 7232421 12879831 17564451 19333191 30052939 40983719 45110779 72985709 90158817 109554749 122951157 135332337 218957127 328664247 510899963 766883243 1532699889 2300649729 3086866163 9260598489 21608063141 52476724771 64824189423 157430174313 367337073397 1102011220191