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1010022010011 = 357412373947
BaseRepresentation
bin11101011001010100000…
…00001100110010011011
310120120001011121021200000
432230222000030302123
5113022011113310021
62051555300544043
7132654200301060
oct16545200146233
93516034537600
101010022010011
1135a3911033a3
121438ba3b2023
13743246c1291
1436c57498c67
151b416520b26
hexeb2a00cc9b

1010022010011 has 144 divisors (see below), whose sum is σ = 1778920695552. Its totient is φ = 560975880960.

The previous prime is 1010022009973. The next prime is 1010022010061. The reversal of 1010022010011 is 1100102200101.

It is a happy number.

It is not a de Polignac number, because 1010022010011 - 211 = 1010022007963 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1010022009975 and 1010022010002.

It is not an unprimeable number, because it can be changed into a prime (1010022010061) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1066548640 + ... + 1066549586.

Almost surely, 21010022010011 is an apocalyptic number.

1010022010011 is a deficient number, since it is larger than the sum of its proper divisors (768898685541).

1010022010011 is an frugal number, since it uses more digits than its factorization.

1010022010011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1010022010011 its reverse (1100102200101), we get a palindrome (2110124210112).

The spelling of 1010022010011 in words is "one trillion, ten billion, twenty-two million, ten thousand, eleven".

Divisors: 1 3 7 9 21 27 41 63 81 123 189 243 287 369 373 567 861 947 1107 1119 1681 1701 2583 2611 2841 3321 3357 5043 6629 7749 7833 8523 9963 10071 11767 15129 15293 19887 23247 23499 25569 30213 35301 38827 45387 45879 59661 69741 70497 76707 90639 105903 107051 116481 136161 137637 178983 211491 230121 271789 317709 321153 349443 353231 408483 412911 536949 627013 634473 815367 953127 963459 1048329 1059693 1238733 1591907 1610847 1881039 2446101 2472617 2859381 2890377 3144987 3179079 3716199 4389091 4775721 5643117 7338303 7417851 8671131 9434961 9537237 11143349 13167273 14327163 14482471 16929351 22014909 22253553 26013393 28611711 33430047 39501819 42981489 43447413 50788053 66044727 66760659 85835133 100290141 101377297 118505457 128944467 130342239 152364159 200281977 300870423 304131891 355516371 386833401 391026717 593781311 600845931 902611269 912395673 1066549113 1173080151 1781343933 2707833807 2737187019 3519240453 4156469177 5344031799 8211561057 12469407531 16032095397 24634683171 37408222593 48096286191 112224667779 144288858573 336674003337 1010022010011