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1122010102213 = 7111343611014231
BaseRepresentation
bin10000010100111101000…
…000110111100111000101
310222021002210221210211121
4100110331000313213011
5121340334041232323
62215235550233541
7144030312336520
oct20247500674705
93867083853747
101122010102213
113a29294a7610
12161552ab58b1
1381a60a564b0
143c43c717bb7
151e2bce27a5d
hex1053d0379c5

1122010102213 has 128 divisors (see below), whose sum is σ = 1582666702848. Its totient is φ = 767491200000.

The previous prime is 1122010102181. The next prime is 1122010102319. The reversal of 1122010102213 is 3122010102211.

It is not a de Polignac number, because 1122010102213 - 25 = 1122010102181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122010102013) 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 127 ways as a sum of consecutive naturals, for example, 265185808 + ... + 265190038.

It is an arithmetic number, because the mean of its divisors is an integer number (12364583616).

Almost surely, 21122010102213 is an apocalyptic number.

1122010102213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1122010102213 is a deficient number, since it is larger than the sum of its proper divisors (460656600635).

1122010102213 is a wasteful number, since it uses less digits than its factorization.

1122010102213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4467.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1122010102213 its reverse (3122010102211), we get a palindrome (4244020204424).

The spelling of 1122010102213 in words is "one trillion, one hundred twenty-two billion, ten million, one hundred two thousand, two hundred thirteen".

Divisors: 1 7 11 13 43 61 77 91 101 143 301 427 473 559 671 707 793 1001 1111 1313 2623 3311 3913 4231 4343 4697 5551 6149 6161 7777 8723 9191 14443 18361 28853 29617 30401 34099 43043 43127 46541 47773 55003 56459 61061 67771 80093 101101 181933 201971 238693 258091 264923 325787 334411 375089 385021 395213 427331 474397 560651 605033 621049 881023 1273531 1806637 1854461 2001263 2365129 2625623 2839001 2914153 2991317 3355183 3443999 4235231 4347343 4700641 5555303 6167161 11097913 14008841 16555903 18375233 19873007 20399071 23486281 24107993 26016419 26067191 32904487 36907013 37883989 38887121 61108333 77685391 122077043 128626631 144272869 182114933 182470337 202127563 238878029 258349091 265187923 286739101 338873483 427758331 854539301 1009910083 1120889213 1414892941 1587001559 1672146203 2007173707 2372114381 2627658319 3727608313 7846224491 11109010913 12329781343 14571559769 18393608233 26093258191 86308469401 102000918383 160287157459 1122010102213