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1023211122030 = 232541397698471
BaseRepresentation
bin11101110001111000010…
…00101010110101101110
310121211002100020121001100
432320330020222311232
5113231014021401110
62102020125223530
7133632061014516
oct16707410526556
93554070217040
101023211122030
11364a3a004479
1214637b401ba6
1375647007486
1437748db0846
151b93937abc0
hexee3c22ad6e

1023211122030 has 96 divisors (see below), whose sum is σ = 2732103960768. Its totient is φ = 265530355200.

The previous prime is 1023211121971. The next prime is 1023211122041. The reversal of 1023211122030 is 302211123201.

It is a super-2 number, since 2×10232111220302 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1023211121994 and 1023211122012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1115695 + ... + 1814165.

It is an arithmetic number, because the mean of its divisors is an integer number (28459416258).

Almost surely, 21023211122030 is an apocalyptic number.

1023211122030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023211122030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366051980384).

1023211122030 is an abundant number, since it is smaller than the sum of its proper divisors (1708892838738).

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

1023211122030 is a wasteful number, since it uses less digits than its factorization.

1023211122030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698922 (or 698919 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1023211122030 its reverse (302211123201), we get a palindrome (1325422245231).

The spelling of 1023211122030 in words is "one trillion, twenty-three billion, two hundred eleven million, one hundred twenty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 397 410 615 738 794 1191 1230 1845 1985 2382 3573 3690 3970 5955 7146 11910 16277 17865 32554 35730 48831 81385 97662 146493 162770 244155 292986 488310 698471 732465 1396942 1464930 2095413 3492355 4190826 6286239 6984710 10477065 12572478 20954130 28637311 31431195 57274622 62862390 85911933 143186555 171823866 257735799 277292987 286373110 429559665 515471598 554585974 831878961 859119330 1288678995 1386464935 1663757922 2495636883 2577357990 2772929870 4159394805 4991273766 8318789610 11369012467 12478184415 22738024934 24956368830 34107037401 56845062335 68214074802 102321112203 113690124670 170535187005 204642224406 341070374010 511605561015 1023211122030