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102011111110020 = 22357389624379429
BaseRepresentation
bin10111001100011101010000…
…000010100111010110000100
3111101012011111201200020210010
4113030131100002213112010
5101332322223421010040
61000543131341230220
730326026300420140
oct2714352002472604
9441164451606703
10102011111110020
112a55a73a885412
12b53652a862370
1344bc7b6638318
141b29515216220
15bbd822e87e80
hex5cc7500a7584

102011111110020 has 96 divisors (see below), whose sum is σ = 327274722028800. Its totient is φ = 23256884934144.

The previous prime is 102011111110003. The next prime is 102011111110037. The reversal of 102011111110020 is 20011111110201.

It is an interprime number because it is at equal distance from previous prime (102011111110003) and next prime (102011111110037).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102011111109978 and 102011111110005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 312026335 + ... + 312353094.

It is an arithmetic number, because the mean of its divisors is an integer number (3409111687800).

Almost surely, 2102011111110020 is an apocalyptic number.

102011111110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102011111110020 is an abundant number, since it is smaller than the sum of its proper divisors (225263610918780).

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

102011111110020 is a wasteful number, since it uses less digits than its factorization.

102011111110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624379837 (or 624379835 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 102011111110020 its reverse (20011111110201), we get a palindrome (122022222220221).

The spelling of 102011111110020 in words is "one hundred two trillion, eleven billion, one hundred eleven million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 389 420 778 1167 1556 1945 2334 2723 3890 4668 5446 5835 7780 8169 10892 11670 13615 16338 23340 27230 32676 40845 54460 81690 163380 624379429 1248758858 1873138287 2497517716 3121897145 3746276574 4370656003 6243794290 7492553148 8741312006 9365691435 12487588580 13111968009 17482624012 18731382870 21853280015 26223936018 37462765740 43706560030 52447872036 65559840045 87413120060 131119680090 242883597881 262239360180 485767195762 728650793643 971534391524 1214417989405 1457301587286 1700185185167 2428835978810 2914603174572 3400370370334 3643253968215 4857671957620 5100555555501 6800740740668 7286507936430 8500925925835 10201111111002 14573015872860 17001851851670 20402222222004 25502777777505 34003703703340 51005555555010 102011111110020