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1023050102430 = 2351714915538669
BaseRepresentation
bin11101110001100101000…
…10011011011010011110
310121210200010020221200110
432320302202123122132
5113230201311234210
62101552134110450
7133625064250566
oct16706242333236
93553603227613
101023050102430
11364967126024
121463354ab426
137561c84a8c5
1437731857da6
151b92a171420
hexee3289b69e

1023050102430 has 128 divisors (see below), whose sum is σ = 2619186192000. Its totient is φ = 254848630784.

The previous prime is 1023050102429. The next prime is 1023050102449. The reversal of 1023050102430 is 342010503201.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1023050102397 and 1023050102406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 118008136 + ... + 118016804.

It is an arithmetic number, because the mean of its divisors is an integer number (20462392125).

Almost surely, 21023050102430 is an apocalyptic number.

1023050102430 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 1023050102430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309593096000).

1023050102430 is an abundant number, since it is smaller than the sum of its proper divisors (1596136089570).

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

1023050102430 is a wasteful number, since it uses less digits than its factorization.

1023050102430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10398.

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 1023050102430 its reverse (342010503201), we get a palindrome (1365060605631).

The spelling of 1023050102430 in words is "one trillion, twenty-three billion, fifty million, one hundred two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 149 170 255 298 447 510 745 894 1490 1553 2235 2533 3106 4470 4659 5066 7599 7765 8669 9318 12665 15198 15530 17338 23295 25330 26007 26401 37995 43345 46590 52014 52802 75990 79203 86690 130035 132005 147373 158406 231397 260070 264010 294746 396015 442119 462794 694191 736865 792030 884238 1156985 1291681 1388382 1473730 2210595 2313970 2583362 3470955 3875043 3933749 4421190 6458405 6941910 7750086 7867498 11801247 12916810 13462957 19375215 19668745 21958577 23602494 26925914 38750430 39337490 40388871 43917154 59006235 65875731 67314785 80777742 109792885 118012470 131751462 134629570 201944355 219585770 228870269 329378655 403888710 457740538 658757310 686610807 1144351345 1373221614 2005980593 2288702690 3433054035 4011961186 6017941779 6866108070 10029902965 12035883558 20059805930 30089708895 34101670081 60179417790 68203340162 102305010243 170508350405 204610020486 341016700810 511525051215 1023050102430